# Program semináře diferenciální geometrie

********************************************************

DG, 9.00,  16.12.2016

P. Zima (MU UK): Special Riemannian geometries and Killing equations, II

********************************************************

DG, 9.00,  9.12.2016

P. Zima (MU UK): Special Riemannian geometries and Killing equations, I

The lecture will have two parts, the second one will be given on Dec 16

at the same time.

Abstract. In the first lecture we will review basic tools for studying

the description of homogeneous Riemannian manifolds by introducing

canonical connection on the corresponding G-structure and point out its

relationship to Killing vectors. We will show how the subclasses of

symmetric and naturally reductive Riemannian manifolds can be

characterized in terms of the canonical connection. Next we will discuss

the G-structures on Riemannian manifolds in general curved case. A key

tool is the so called intrinsic torsion which yields primary

classification those geometric structures.

******************************************************

DG, 9.00,  25.11.2016

A special seminar in honor of Prof. Oldrich Kowalski

******************************************************

DG, 9.00,  14.10.2016

T. Salac (MU UK): Elliptic complex on the Grassmannian of oriented 2-planes in R(2+n)

The Grassmannian variety M of oriented totally isotropic

2-dimensional subspaces in R(2;n+2) is a homogeneous space of the parabolic

geometry known as the Lie contact structure. We will show that

the Grassmannian variety V^+(2; n) of oriented 2-planes in R(2+n) can

be realized as a global PCS-quotient of M by a transversal infinitesi-

mal symmetry. We will apply the construction of descending invariant

differential operators to the 2-Dirac complex which is a complex of

naturals differential operators living on M. We get an elliptic complex

of differential operator on V^+(2; n) which is naturally invariant to the

PCS-structure on V^+(2; n) and we compute its index. This example ^Lts

into the general scheme of descending natural differential operators to

PCS-quotients (joint project with A. Cap.)

********************************************************

DG, 9.00,  7.10.2016

Alexander Olevskii (Tel Aviv University, Israel): Fourier quasi-crystals

Abstract:

It will be given an introduction to the mathematical theory

of quasicrystals, that are related to many fascinating phenomena,

including the famous non-periodic Penrose tiling?s and the non-periodic

crystal structures in nature that were discovered by Dan Shechtman

(Nobel-price 2011).

***************************************

***************************************

***************************************

DG, 9.00,  27.5.2016

J. Elias: A leisure introduction into Ricci flow programm

Abstract.

Motivated by the uniformization of Riemann surfaces and its 3-dimensional counterpart called Thurston's

Geometrization Conjecture, we discuss the basic concepts of the Ricci flow programm. If time permits, I will

mention its application to the ambient metric construction.

*********************************

DG, 9.00,  20.5.2016

There is no seminar.

*********************************

DG, 9.00,  13.5.2016

P. Zima (MU UK): Killing spinor-valued forms II.

In the first talk I have introduced Killing spinor-valued forms as a

straightforward generalization of Killing forms and Killing spinors.

In this talk I will focus on their relationship to curvature of the

underlying manifold.  The relationship manifests in the so called

prolongation procedure which transforms the equations into the

equation of parallel transport in an appropriate extended bundle.  In

particular, the procedure provides a sharp upper bound for the

dimension of solutions.  I also outline a more abstract approach which

leads to Riemannian tractors and projective invariance.

*********************************

DG, 9.00,  6.5.2016

There is no seminar

*********************************

DG, 9.00,  29.4.2016

P. Zima (MU UK): Killing spinor-valued forms

In this talk I introduce Killing spinor-valued forms as solutions of

particular invariant system of PDEs on a Spin manifold.  The Killing

type equations are already well established for the cases of vectors,

symmetric tensors, ordinary forms and spinors.  The aim of the current

work is to fill in the case of spinor-valued forms.  Subsequently I

expose basic properties such as the relationship to Killing spinors and

ordinary forms.  I also review construction of the metric cone which

leads to special Killing spinor-valued forms.

*********************************

DG, 9.00,  22.4.2016

L. Krizka  (MU UK): Geometric realization of induced modules

In the previous talk, I explained a geometric realization of scalar

generalized Verma modules for semisimple Lie algebras. I will use this

method for affine Kac-Moody algebras to obtain a geometric realization

(free field realization) of imaginary Verma modules and Wakimoto

modules. I will recall basic facts concerning affine Kac-Moody algebras.

*********************************

DG, 9.00,  15.4.2016

L. Krizka  (MU UK): Geometric realization of induced modules

In this talk I will explain a geometric realization

of induced modules in the simplest case of scalar generalized Verma

modules for semisimple Lie algebras. The realization is based on

D-modules on generalized flag manifolds. In particular, I will discuss

an application of this method to finding homomorhisms of generalized

Verma modules.

*********************************

DG, 9.00,  8.4.2016

No seminar

*********************************

DG, 9.00,  1.4.2016

D.Calderbank  (University of Bath): Parabolic buildings *

Abstract.

I will discuss an (apparently new) approach to parabolic

subalgebras of (reductive or semisimple) Lie algebras

in characteristic zero which leads to an elementary

construction of the Tits Building associated to such

a Lie algebra. (Joint work with Passawan Noppakaew.)

*********************************

DG, 9.00,  1.4.2016

CES Brno

*********************************

DG, 9.00,  18.3.2016

James Borger (ANU, Canberra): Arithmetic jet spaces

Arithmetic jet spaces are an arithmetic analogue of usual jet spaces in

which the role of differentiation is played by an operation that can be

thought of as differentiation with respect to a prime number. They were introduced

in these terms in the 1990s by Buium, although parts of the theory go back

to the Greenberg transform of the early 1960s.

In this talk, I'll give a brief introduction to arithmetic jet spaces,

emphasizing the analogy with usual jet spaces.

I won't assume any familiarity with arithmetic algebraic geometry or

scheme theory.

*********************************

DG, 9.00,  11.3.2016

K. Neusser (ECI):  On c-projective geometry, part III.

In recent years there has been renewed and continuously increasing

interest in c-projective geometry,

which is a natural analogue of real projective geometry in the setting

of complex manifolds.

The primary motivation for the study of c-projective geometry is due to

its close relations to Kaehler geometry.

*********************************

DG, 9.00,  4.3.2016

Re O'Buachalla (Institute AS, Warszaw): Finite spectral triples and non-commutative Kaehler structures.

In this reasonably informal talk I will give some solid information on finite spectral triple theory.

*********************************

DG, 9.30,  26.2.2016

K. Neusser (ECI):  On c-projective geometry, part II.

In recent years there has been renewed and continuously increasing

interest in c-projective geometry,

which is a natural analogue of real projective geometry in the setting

of complex manifolds.

The primary motivation for the study of c-projective geometry is due to

its close relations to Kaehler geometry.

This is the second lecture of a series of lectures, in which I will give

an introduction to c-projective geometry

and an overview of the latest developments in theory.

*********************************

DG, 9.30,  8.1.2016

K. Neusser (ECI):  On c-projective geometry.

Abstract: In recent years there has been renewed and continuously

increasing interest in c-projective geometry, which is a natural analogue

of real projective geometry in the setting of complex manifolds. The

primary motivation for the study of c-projective geometry is due to

its close relations to Kaehler geometry. This lecture will be the first of

series of lectures, in which I will give an introduction to c-projective

geometry and an overview of the latest developments in theory.

*********************************

DG, 9.00,  18.12.2015

There is no seminar

*********************************

DG, 9.00,  11.12.2015

Seminar is moved to Brno

*********************************

DG, 9.00,  4.12.2015

Pavle Pandzic (Univeristy of Zagreb): Classifying Aq(\lambda)-modules by their Dirac cohomology

Abstract: We will briefly review the notions of Dirac cohomology

and of Aq(\lambda)-modules, and recall a formula for the Dirac

cohomology of an Aq(\lambda)-module. Then we will discuss

to what extent an Aq(\lambda)-module is determined by its

Dirac cohomology.

*********************************

DG, 9.00,  27.11.2015

Katharina Neusser (ECI): On some rigidity results for parabolic geometries

This will be the first of a series of lectures on (infinitesimal)

symmetries of parabolic geometries, in which I will discuss various

rigidity results. My first talk will be based on a joint work with K.

Melnick and will be concerned with the local geometry of parabolic geometries

in the presence of flows of local automorphisms admitting higher-order

zeros.

*********************************

DG, 9.00,  13.11.2015

M. Doubek (MU UK, ECI): Knots, operads, and graph complexes, II

*********************************

DG, 9.00,  06.11.2015

Anthony Bordg: On lifting univalence to the equivariant setting

*********************************

DG, 9.00,  30.10.2015

Matthias Fischmann (ECI):The residue family operators for differential forms on Einstein manifolds

*********************************

DG, 9.00,  23.10.2015

No Seminar

*********************************

DG, 9.00,  16.10.2015

Matthias Fischmann (ECI):The residue family operators for differential forms on Einstein manifolds

*********************************

DG, 9.00,  2.10.2015

Matthias Fischmann (ECI):The residue family operators for differential forms on Einstein manifolds

*********************************

*********************************

*********************************

DG, 9.00,  29.5.2015

Matthias Fischmann (ECI): The heat flow and the holography *

Abstract.

The lecture will be the first of a series of several lectures,
where we shall review some basics of the heat flow equation on a Riemannian manifold, and then apply it to the holographic Laplace operator.

*********************************

DG, 9.00,  22.5.2015

Matthias Fischmann (ECI): The heat flow and the holography *

Abstract.

The lecture will be the first of a series of several lectures,
where we shall review some basics of the heat flow equation on a Riemannian manifold, and then apply it to the holographic Laplace operator.

*********************************

DG, 9.00,  15.5.2015

Matthias Fischmann (ECI): The heat flow and the holography *

Abstract.

The lecture will be the first of a series of several lectures,
where we shall review some basics of the heat flow equation on a Riemannian manifold, and then apply it to the holographic Laplace operator.

*********************************

DG, 9.00,  08.05.2015

No seminar

*********************************

DG, 9.00,  01.05.2015

No seminar

*********************************

DG, 9.00,  24.4.2015

Matthias Fischmann (ECI): The heat flow and the holography *

Abstract.

The lecture will be the first of a series of several lectures,
where we shall review some basics of the heat flow equation on a Riemannian manifold, and then apply it to the holographic Laplace operator.

*********************************

DG, 9.00,  17.4.2015

Petr Somberg (ECI): The heat flow and the holography *

Abstract.

The lecture will be the first of a series of several lectures,
where we shall review some basics of the heat flow equation on a Riemannian manifold, and then apply it to the holographic Laplace operator.

*********************************

DG, 9.00,  10.4.2015

Petr Somberg (ECI): The heat flow and the holography *

Abstract.

The lecture will be the first of a series of several lectures,
where we shall review some basics of the heat flow equation on a Riemannian manifold, and then apply it to the holographic Laplace operator.

*********************************

DG, 9.00,  3.4.2015

Petr Somberg (ECI): The heat flow and the holography *

Abstract.

The lecture will be the first of a series of several lectures,
where we shall review some basics of the heat flow equation on a Riemannian manifold, and then apply it to the holographic Laplace operator.

*********************************

DG, 9.00,  27.3.2015

Petr Somberg (ECI): The heat flow and the holography *

Abstract.

The lecture will be the first of a series of several lectures on the topic.
We shall review some basics of the heat flow equation on a Riemannian
manifold, and then apply it to the holographic Laplace operator.

*********************************

DG, 9.00,  9.1.2015

???

*********************************

DG, 9.00,  19.12.2014

There is no seminar

*********************************

DG, 9.00,  12.12.2014

Pierre-Phillipe Dechante  (University of York, UK):

*********************************

DG, 9.00,  12.12.2014

Pierre-Phillipe Dechante  (University of York, UK):

A 3D spinorial view of 4D exceptional phenomena

Abstract:

We show how regular convex 4-polytopes - the analogues of the Platonic

solids in four dimensions - can be constructed from three-dimensional

considerations concerning the Platonic solids alone. Via the

Cartan-Dieudonne theorem, the reflective symmetries of the Platonic

solids generate rotations. In a Clifford algebra framework, the space of

spinors generating such three-dimensional rotations has a natural

four-dimensional Euclidean structure. The spinors arising from the

Platonic solids can thus in turn be interpreted as vertices in

four-dimensional space, giving a simple construction of the

four-dimensional polytopes 16-cell, 24-cell, the F_4  root system and

the 600-cell. In particular, these polytopes have mysterious symmetries,

that are almost trivial when seen from the three-dimensional spinorial

point of view. In fact, all these induced polytopes are also known to be

root systems and thus generate rank-4 Coxeter groups, which can be shown

to be a general property of the spinor construction. These

considerations thus also apply to other root systems such as A_1 ?I_2

(/n/) which induces I_2 (/n/)?I_2 (/n/), explaining the existence of the

grand antiprism and the snub 24-cell, as well as their automorphism

symmetries. These results are discussed in the wider mathematical

context of Arnold's trinities and the McKay correspondence. These

results are thus a novel link between the geometries of three and four

dimensions, with interesting potential applications on both sides of the

correspondence, to real three-dimensional systems with polyhedral

symmetries such as (quasi)crystals, viruses and carbon onions, as well

as four-dimensional geometries arising for instance in Grand Unified

Theories and String and M-theory.

*********************************

DG, 9.00,  5.12.2014

D. Mylonas  (Math. Institute, EC Institute): Non-geometry in closed string theory: Deformation quantization.

In this talk I will discuss the quantization of non-geometric flux

backgrounds using deformation quantization techniques. For the boundary

Poisson sigma-model of an open membrane sigma-model, I will employ

Kontsevich's formality theorem to calculate the deformed algebra of

functions on the non-geometric target space. I will then use a suitable

quasi-Hopf algebra of symmetries of the non-geometric target space, and

a cochain twist to compute the pertinent deformed differential calculus.

Finally, I will use this formalism to briefly discuss the formulation of

nonassociative scalar field theories and nonassociative quantum mechanics.

*********************************

DG, 9.00,  28.11.2014

D. Mylonas  (Math. Institute, EC Institute):  Non-geometry in closed string theory: Membrane sigma-models.

*********************************

DG, 9.00,  21.11.2014

MES seminar in Brno

*********************************

DG, 9.00,  14.11.2014

P. Somberg (MFF UK), Automorphic distributions,

*********************************

DG, 13.00,  7.11.2014 (change of time schedule, we start at 13.00 at the same place as usual!)

Prof. Anatoly Konechny (Herriot Watt University, UK): Boundary entropy and its properties

*********************************

DG, 9.00,  31.10.2014

Discussion in MU CAS, Zitna

*********************************

DG, 9.00,  24.10.2014

ECI seminar in Trest

*********************************

DG, 9.00,  17.10.2014

R. O'Buachalla (E.  ?ech Institute): Noncommutative K\"ahler Structures on Quantum Homogeneous Spaces, III.

*********************************

DG, 9.00,  10.10.2014

R. O'Buachalla (E.  ?ech Institute): Noncommutative K\"ahler Structures on Quantum Homogeneous Spaces, II.

*********************************

DG, 9.00,  3.10.2014

R. O'Buachalla (E.  ?ech Institute): Noncommutative K\"ahler Structures on Quantum Homogeneous Spaces, I.

*********************************

DG, 9.00,  16.5.2014

Z. Skoda (Univ. of Zagreb): Cech cocycles for

noncommutative principal bundles*

Abstract. Hopf algebras often play role of the symmetries in

noncommutative geometry. However, there is no

notion of an open set, so it is hard to make sense of local

trivializations. One of the possible

replacements for open sets are the localization functors. For principal

bundles one of the possible

frameworks is the framework of Hopf-Galois extensions. Using localizations

we introduce a finer class of the locally trivial Hopf-Galois

extensions, and,

more importantly, the global objects which generalize Hopf-Galois

picture and which

in some cover by coaction compatible localizations reduce to it.

Classification of bundles then reduces to a Cech like cocycles with

coefficients in a Hopf algebra. The

examples of bundles on quantum flag varieties which I considered earlier

without Cech picture fit into

this context (with applications like quantum group coherent states).

*********************************

DG, 9.00,  8.5.2014

No seminar

*********************************

DG, 9.00,  1.5.2014

No seminar

*********************************

DG, 9.00,  25.4.2014

S. Majid (University of London, Queen Mary College):

Semiquantisation functor and Poisson-Riemannian geometry

Abstract:

We study a Poisson manifold equipped with a Poisson-compatible

connection. From this data we provide a monoidal functor from the

category of classical bundle and connection pairs to the category

of bimodules and bimodule connections over the quantised algebra.

However, we do this working only to first order in the quantisation

parameter. We apply the functor to quantise the exterior algebra and, in

the Riemannian case, the metric and Levi-Civita connection. We identify

for the latter an obstruction

or quantisation condition in the classical geometric data involving the

skew Ricci tensor. The obstruction vanishes for Kahler-Einstein manifolds.

Based on joint work with E.J. Beggs.

*********************************

DG, 9.00,  18.4.2014

No seminar

*********************************

DG, 9.00,  11.4.2014

B. Jurco: Introduction to the Chern-Simons theory

*********************************

DG, 9.00,  4.4.2014

B. Jurco: Introduction to the Chern-Simons theory

*********************************

DG, 9.15,  28.3.2014

Hans-Christian Herbig: New results in the invariant theory approach to symplectic reduction and applications.

*********************************

DG, 9.00,  21.3.2014

There is no seminar

*********************************

DG, 9.00,  14.3.2014

M. Fischmann,  Conformal powers of Dirac operator on Einstein manifolds

*********************************

DG, 9.00,  7.3.2014

A. Zuevsky: Identities for modular forms generated by

vertex operator algebras , II

Recent results in construction of identities for modular forms in the

vertex algebra approach are reviewed. We show how to introduce,

calculate explicitly, and establish modular properties of the (twisted)

partition and n-point correlation functions on sewn and self-sewn

Riemann surfaces of genus g 1 for vertex operator superalgebras (via

generalized vertex algebra of intertwiners).  Twisted elliptic

functions, Szego kernels, and genus two Jacobi product formulas

naturally appear as applications.

*********************************

DG, 9.00,  28.2.2014

A. Zuevsky: Identities for modular forms generated by

vertex operator algebras

Recent results in construction of identities for modular forms in the

vertex algebra approach are reviewed. We show how to introduce,

calculate explicitly, and establish modular properties of the (twisted)

partition and n-point correlation functions on sewn and self-sewn

Riemann surfaces of genus g 1 for vertex operator superalgebras (via

generalized vertex algebra of intertwiners).  Twisted elliptic

functions, Szego kernels, and genus two Jacobi product formulas

naturally appear as applications.

*********************************

DG, 9.00,  21.2.2014

H. DeBie (University of Ghent): Hypercomplex Fourier transforms: an overview

Abstract: Recently there has been an increased interest in the study

of generalized Fourier transforms in the context of harmonic analysis

and Clifford analysis. In this talk I will explain the main

motivations and results in this line of research, using basic

examples. I will also highlight two natural problems in this context,

and what the current state of the art is.

*************************************************

*********************************

*********************************

DG, 9.00,  10.1.2014

Winter school in Srni, 2014, preparation

*********************************

DG, 9.00,  3.1.2014

There is no seminar

*********************************

*********************************

DG, 9.00,  20.12.2013

P. Zima: Killing spinor form

*********************************

DG, 9.00,  13.12.2013

Jonathan Kress (University of New South Wales): Recent progress in superintegrable systems

Abstract:
A Hamiltonian system with a 2n-dimensional phase space is said to be
Liouville integrable if it possesses n integrals of the motion that are
mutually in involution.  The system is said to be superintegrable if it
possesses more than n integrals up to a maximum of 2n-1.  A
corresponding notion of quantum integrable and superintegrable exists
with integrals replaced by differential operators commuting with the
Hamiltonian.  Many well known classical and quantum integrable systems,
such as the inverse square central force and harmonic oscillator
systems, are in fact superintegrable.

Superintegrable systems with second order symmetries have been
extensively studied because of their close connection with separation of
variables and special functions.  Additionally, new families of higher
order superintegrable systems have recently been discovered.  These
systems have a rich algebraic structure that is slowly being revealed.

In this talk will discuss recent progress in the study of these
superintegrable systems.

*********************************

DG, 9.00,  6.12.2013

MES seminar in Brno

*********************************

DG, 9.00,  29.11.2013

P. Cerejeiras and U. K?ahler (Univ. de Aveiro):

Towards a discrete function theory in higher dimensions:

discrete monogenics, Fischer decomposition and Hardy spaces

Abstract.

In recent years one can observe an increasing interest in obtaining

discrete counterparts for various continuous structures, especially in

a discrete equivalent to continuous function theory. This is not only

driven by the idea of creating numerical algorithms for di^Kerent contin-

uous methods of studying partial di^Kerential equations, but also for true

discrete purposes, as can be seen, among others, by recent results of S.

Smirnov in connecting complex discrete function theory with problems

in probability and statistical physics or the introduction of ^Lnite ele-

ment exterior calculus in analysing variational crimes. While such ideas

are very much developed in the complex case the higher-dimensional

case is yet underdeveloped. This is mainly due to the fact that while

discrete complex analysis is under (more or less) continuous develop-

ment since the 1940's discrete Cli^Kfford analysis started eff^Kectively only

in the eighties and nineties with the construction of discrete Dirac op-

erators either for numerical methods of partial di^Kerential equations or

for quantized problems in physics. The development of genuinely func-

tion theoretical methods only started quite recently. In this talk we

would like to present the necessary methods for constructing discrete

function theories, such as basic algebraic structures, Fischer decompo-

sition, and decomposition theorems for discrete monogenics as well as

Cauchy integral formulae, boundary values and discrete Hardy spaces.

We will review recent results as well as possible applications.

*********************************

DG, 9.00,  22.11.2013

P. Pandzic (University of Zagreb):  "Dirac index and Goldie rank polynomials"

Goldie rank polynomials were introduced by Joseph as an invariant of

Harish-Chandra modules related to translation families. King has shown

that the Goldie rank polynomial can be viewed as a certian leading term of

the character expansion on the split Cartan subgroup. We show how Dirac

index can be used to define an analogous invariant on the compact Cartan

subgroup, and show how this new invariant is related to the Goldie rank

polynomial in some cases. This is joint work with Salah Mehdi and David

Vogan.

*********************************

DG, 9.00,  15.11.2013

Francesco Bonechi (Univ. di Firenze): Quantization of Poisson manifolds from multiplicative

integrability of the modular function

Abstract: I will discuss a framework for quantizing Poisson manifold via

the integrability of the modular function. I will review the definition

of the symplectic groupoid, of the modular function and some

construction of the theory of groupoid C*-algebras.

I will concretely discuss the quantization of a pencil of Poisson

structures on CP_n, seen as Poisson homogeneous spaces of SU(n) equipped

with the standard Poisson-Lie structure, and the associated

bihamiltonian structure.

*********************************

DG, 9.00,  8.11.2013

M. Fischmann: Residue families for spinors on upper-half space

*********************************

DG, 9.00,  1.11.2013

L. Krizka: On singular vectors and D-modules

*********************************

DG, 9.00,  25.10.2013

L. Krizka: On singular vectors and D-modules

*********************************

DG, 9.00,  18.10.2013

L. Krizka: On singular vectors and D-modules

*********************************

DG, 9.00,  4.10.2013

A. Schenkel: " Algebraic quantum field theory and gauge theory "

*********************************

*********************************

DG, 9.00, 24.5.2013

MES in Brno

*********************************

DG, 9.00, 17.5.2013

P. Somberg, Re OBuachalla - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 10.5.2013

P. Somberg - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 3.5.2013

P. Somberg - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 26.4.2013

P. Somberg - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 19.4.2013

P. Somberg - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 12.4.2013

P. Somberg - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 5.4.2013

Re O'Buachalla - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 29.3.2013

No seminar (Eastern)

*********************************

DG, 9.00, 22.3.2013

Re O'Buachalla - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 15.3.2013

Re O'Buachalla - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 8.3.2013

Central European seminar in Brno

*********************************

DG, 9.00, 1.3.2013

Re O'Buachalla - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.00, 22.2.2013

Re O'Buachalla - Quantization of function algebras of generalized flag manifolds

*********************************

DG, 9.30, 11.1.2013

M. Dostalova - Symplectic twistor operator and its solution space

*********************************

DG, 9.00, 4.1.2013

There is no seminar

*********************************

DG, 9.00, 21.12.2012

There is no seminar

*********************************

DG, 9.00-10.15, 14.12.2012

B. Orsted: Some constructions of covariant differential operators.

Abstract:
In this lecture we will discuss some of the known methods for
finding differential operators that act as intertwining operators
between two representations of a semisimple Lie group. For
representations induced from a parabolic subgroup we may consider the
standard intertwining operators by Knapp and Stein, depending on a
complex parameter. By taking residues of such families, we in some cases
obtain differential operators; an example is provided by the Dirac
operator and similar operators.

*********************************

DG, 9.00, 7.12.2012

D. Eelbode (University of Antwerp): Conformally invariant powers of the Rarita-Schwinger operator.

*********************************

DG, 9.00, 30.11.2012

CES in Brno

*********************************

DG, 9.00, 23.11.2012

V. Soucek: The spinor representation for the superalgebra osp(m|n,C) and
its tensor products.

*********************************

DG, 9.00, 16.11.2012

The seminar is cancelled

*********************************

DG, 9.00, 9.11.2012

V. Soucek: The spinor representation for the superalgebra osp(m|n,C) and
its tensor products.

*********************************

DG, 9.00, 2.11.2012

V. Soucek: The spinor representation for the superalgebra osp(m|n,C) and
its tensor products.

*********************************

DG, 9.00, 26.10.2012

Leticia Barchini (Oklahoma State University): Geometric models for a class of
unitary representations, Lecture 3

This will be a series of three lectures on the following topic.

Lecture 3

In the third lecture I will describe a proposal
by Vogan on building the unitary globalization of cohomologically induced
modules from the minimal globalization.

*********************************

DG, 9.00, 12.10.2012

V. Tucek: Enright-Shelton equivalences and BGG resolutions

Abstract: We will review equivalences of Enright and Shelton between

certain blocks in two different parabolic categories O. We will try to

focus on examples and if time permits, we state show an application to

invariant differential operators.

*********************************

DG, 9.00, 5.10.2012

Re O'Buachala (ECI):The Noncommutative Kaehler Geometry of
the Podles Sphere

Abstract

For the interaction of noncommutative
geometry and the theory of quantum groups, one of the most important
examples is the Podles sphere. In this talk we will begin by introducing
the Podles sphere as a quantum homogeneous space of the famous quantum
group SUq(2). Then we will show how the classical complex and Kaehler
geometry of the ordinary sphere transfer over to the quantum setting.
Finally, we will discuss some ideas for extending these results to more
general sub-families of the quantum flag manifolds, and the possible
applications that such work might have.

*********************************

HA, 10.30, 4.5.2012

I. Sabadini (University of Milano): Duality theorems in the Hermitian setting,

F. Colombo (Universitu of Milano): On some notions of spectra for n-tuples of operators.

*********************************

HA, 10.30, 27.4.2012

ECC seminar in Brno

*********************************

DG, 9.00, 20.4.2012

D. Smid: Representation theory of Lie superalgebras

**********************************

DG, 9.00, 13.4.2012

L. Krizka: Gerbes

**********************************

DG, 9.00, 6.4.2012

There is no seminar

**********************************

DG, 9.00, 30.3.2012

T. Salac: The Penrose transform - a vanishing theorem.

**********************************

DG, 9.00, 23.3.2012

L. Krizka: Klasifikace algeber diferencialnich operatoru

**********************************

DG, 9.00, 9.3.2012

MES Brno

**********************************

DG, 9.00, 2.3.2012

K. Coulembier (Univ. of Gent): The orthosymplectic
supergroup in harmonic analysis II

**********************************

DG, 9.00, 24.2.2012

K. Coulembier (Univ. of Gent): The orthosymplectic
supergroup in harmonic analysis I.

**********************************

**********************************

DG, 9.00, 13.1.2012

There is no seminar

**********************************

DG, 9.00, 6.1.2012

V. Tucek - Lie algebra homology of unitary Verma modules

**********************************

DG, 9.00, 16.12.2011

V. Tucek - Lie algebra homology of unitary Verma modules

**********************************

DG, 9.00, 9.12.2011

The seminar is cancelled

**********************************

DG, 9.00, 2.12.2011

MES in Brno

**********************************

DG, 9.00, 25.11.2011

M. Loebl - Complexity of graph polynomials

**********************************

DG, 9.00, 18.11.2011

Seminar zrusen

**********************************

DG, 9.00, 11.11.2011

P. Cerejeiras - On the windowed quaternionic Fourier transform

**********************************

DG, 9.00, 4.11.2011

T. Salac - Penrose transform and monogenic funtions

**********************************

DG, 9.00, 28.10.2011

October's fiest

**********************************

DG, 9.00, 21.10.2011

MES Telc

**********************************

DG, 9.00, 14.10.2011

Jan Vysoky - Poisson sigma models: Lie algebroid approach

**********************************

DG, 9.00, 7.10.2011

T. Salac - Penrose transform for monogenic functions

**********************************

**********************************

DG, 9.00, 3.6.2011

L. Krizka - D-modules and Atiyah algebroids

**********************************

DG, 9.00, 20.5.2011

L. Krizka - D-modules and Atiyah algebroids

**********************************

DG, 9.00, 13.5.2011

**********************************

DG, 9.00, 6.5.2011

V. Soucek - Cherednik algebras

**********************************

DG, 9.00, 29.4.2011

T. Milev -Branching rules for Verma modules

**********************************

DG, 9.00, 22.4.2011

V. Soucek - Cherednik algebras

**********************************

DG, 9.00, 15.4.2011

Peter Bouwknegt, ANU Canberra - Courant Algebroids and Generalizations of Geometry

**********************************

DG, 9.00, 8.4.2011

B. Jurco - Hamiltonian reduction + Calogero-Moser systems

**********************************

DG, 9.00, 1.4.2011

Special seminars

**********************************

DG, 9.00, 25.3.2011

V. Soucek - Cherednik algebras

**********************************

DG, 9.00, 18.3.2011

V. Soucek - Cherednik algebras

**********************************

DG, 9.00, 11.3.2011

V. Soucek - Cherednik algebras

**********************************

DG, 9.00, 4.3.2011

MES in Brno

**********************************

DG, 9.00, 25.2.2011

V. Soucek - Cherednik algebras

**********************************

DG, 9.00, 14.1.2011

Meeting 9.30, WS Srni

**********************************

DG, 9.00, 7.1.2011

No seminar

**********************************

DG, 9.00, 17.12.2010

P. Somberg - D-modules and representation theory

**********************************

DG, 9.00, 10.12.2010

P. Somberg - D-modules and representation theory

**********************************

DG, 9.00, 3.12.2010

L. Krizka - AdS/CFT corespondence, algebroidy a prostory modulu

**********************************

DG, 9.00, 26.11.2010

V. Soucek - Hecke and Cherednik algebras

**********************************

DG, 9.00, 19.11.2010

Seminar v Mikulove

**********************************

DG, 9.00, 12.11.2010

V. Soucek - Hecke and Cherednik algebras

**********************************

DG, 9.00, 5.11.2010

M. Schnabl - AdS/CFT pro 3/2

**********************************

DG, 9.00, 29.10.2010

V. Soucek - Hecke and Cherednik algebras

**********************************

DG, 9.00, 22.10.2010

V. Soucek - Hecke and Cherednik algebras

**********************************

DG, 9.00, 15.10.2010

M. Sykora - Teorie representaci a integralni geometrie nad quaternionovym telesem

**********************************

DG, 9.00, 8.10.2010

Z. Kasarova - Symmetry operators of CR Laplace operator

**********************************

DG, 9.00, 1.10.2010

Seminar se nekona

**********************************

**********************************

**********************************

DG, 9.00, 28.5.2010

MES in Brno

**********************************

DG, 9.00, 21.5.2010

L. Krizka/V. Soucek - Complex crowns ad Matsuki correspondence

**********************************

DG, 9.00, 14.5.2010

L. Krizka/V. Soucek - Complex crowns ad Matsuki correspondence

**********************************

DG, 9.00, 7.5.2010

L. Krizka - Harish-Chandra modules

**********************************

DG, 9.00, 30.4.2010

MES Brno

**********************************

DG, 9.00, 23.4.2010

L. Krizka - Harish-Chandra modules

**********************************

DG, 9.00, 16.4.2010

L. Krizka - Harish-Chandra modules

**********************************

DG, 9.00, 9.4.2010

L. Krizka - Harish-Chandra modules

**********************************

DG, 9.00, 2.4.2010

The seminar is cancelled

**********************************

DG, 9.00, 26.3.2010

V. Tucek - Octonionic plane and exceptional Lie algebra f_4

**********************************

DG, 9.00, 19.3.2010

V. Tucek - Octonionic plane and exceptional Lie algebra f_4

**********************************

DG, 9.00, 12.3.2010

V. Tucek - Octonionic plane and exceptional Lie algebra f_4

**********************************

DG, 9.00, 5.3.2010

A. Juhl (Berlin) - On the recursive structure of GJMS-operators.

Abstract. On any conformal manifold there is a sequence of conformally covariant differential
operators with leading part given by a power of the Laplace-Beltrami operator. These were
constructed by Graham et al in terms of the ambient metric. The first two examples are the
Yamabe operator and the Paneitz operator. The higher order cases are much more complicated.
In the lecture I will address the problem to describe the structure of these operators.

**********************************

DG, 9.00, 26.2.2010

MES, Brno

**********************************

DG, 9.00, 15.1.2010

The seminar is cancelled

**********************************

DG, 9.00, 8.1.2010

Winter school Srni (preparation); the meeting is at 10!

**********************************

DG, 9.00, 18.12.2009

M. Doubek - Derived functors and Penrose transform

**********************************

DG, 9.00, 11.12.2009

MES in Brno

**********************************

DG, 9.00, 4.12.2009

V. Soucek - Derived functors and Penrose transform

**********************************

DG, 9.00, 27.11.2009

V. Soucek - Derived functors and Penrose transform

**********************************

DG, 9.00, 20.11.2009

M. Doubek et all - Derived categories and representation theory

**********************************

DG, 9.00, 13.11.2009

M. Doubek et all - Derived categories and representation theory

**********************************

DG, 9.00, 6.11.2009

M. Doubek et all - Derived categories and representation theory

**********************************

DG, 9.00, 30.10.2009

prof. Rida Farouki (University of California):

Rotation-minimizing frames on space curves: theory,
algorithms, and applications

**********************************

DG, 9.00, 23.10.2009

M. Doubek et all - Derived categories and representation theory

**********************************

DG, 9.00, 16.10.2009

M. Doubek et all - Derived categories and representation theory

**********************************

DG, 9.00, 9.10.2009

M. Doubek et all - Derived categories and representation theory

**********************************

DG, 9.00, 2.10.2009

MES in Brno

**********************************

**********************************

**********************************

DG, 9.00, 22.5.2009

V. Soucek - D-modules

**********************************

DG, 9.00, 15.5.2009

V. Soucek - D-modules

**********************************

DG, 9.00, 17.4.2009

MES in Brno

**********************************

DG, 9.00, 10.4.2009

The seminar is cancelled

**********************************

DG, 9.00, 3.4.2009

V. Soucek - Representation theory of D-modules

**********************************

DG, 9.00, 27.3.2009

V. Soucek - Representation theory of D-modules

**********************************

DG, 9.00, 20.3.2009

V. Soucek - Representation theory of D-modules

*********************************

DG, 9.00, 13.3.2009

P. Somberg - Representation theory of D-modules

**********************************

DG, 9.00, 6.3.2009

V. Soucek - Representation theory of D-modules

**********************************

DG, 9.00, 27.2.2009

MES, Brno

**********************************

**********************************

DG, 9.00, 16.1.2009

P. Franek - Cartan for beginners

**********************************

DG, 9.00, 9.1.2009

V. Soucek - Beilinson-Bernstein D-modules

**********************************

DG, 9.00, 19.12.2008

CES, Brno

**********************************

DG, 9.00, 12.12.2008

Workshop on Clifford Analysis

**********************************

DG, 9.00, 5.12.2008

P. Somberg - Operations on D-modules and preservation of holonomicity

**********************************

DG, 9.00, 28.11.2008

P. Somberg - Operations on D-modules and preservation of holonomicity

**********************************

DG, 9.00, 21.11.2008

P. Somberg - Kashiwara's theorem

**********************************

DG, 9.00, 14.11.2008

ECC seminars, Friday+Saturday (Trest, Telc)

**********************************

DG, 9.00, 7.11.2008

P. Somberg - Operations on D-modules

**********************************

DG, 9.00, 31.10.2008

P. Somberg - Operations on D-modules

**********************************

DG, 9.00, 24.10.2008

P. Somberg - Operations on D-modules

**********************************

DG, 9.00, 17.10.2008

P. Somberg - D-modules and characteristic variety

**********************************

DG, 10.10.2008

CES, Brno

**********************************

DG, 9.00, 3.10.2008

V. Tucek, T. Salac - Geometry of algebraic stacks

**********************************