Pracovní skupina teorie reprezentací a harmonické analýzy (2006-2007)

Seminář DG se koná v pátek od 9.00 hod v seminární místnosti MÚUK Karlín, Sokolovská 83, III.patro. Na semináři se střídají témata z různých oblastí (Penroseova transformace a integrální geometrie, teorie twistorů, invariantní operátory na homogenních prostorech, nekomutativní geometrie, atd.).

Seminář HA se koná ve čtvrtek v seminární místnosti MÚ UK, Karlín, Sokolovská 83, III.patro, od 10.40 hod. V tomto semestru budou základními tématy semináře PARABOLICKÉ GEOMETRIE a BGG RESOLUCE}. Seminář bude koncipován jako pracovní se zaměřením na získávání nových výsledků.

Na semináři přednášejí také hosté MÚ UK ze zahraničí.

Použité zkratky: DG=seminář Diferenciální geometrie, HA=seminář Harmonické analýzy.

DG, 9.00, 25.5.2007.

P. Somberg

D-modules

HA, 10.30, 25.5.2007.

DG, 9.00, 18.5.2007.

No seminar

HA, 10.30, 18.5.2007.

No seminar

DG, 9.00, 11.5.2007.

P. Somberg

D-modules

HA, 10.30, 11.5.2007.

Prof. Jens Gravesen (Technical University of Denmark)

Curves and surfaces given by the support function

DG, 9.00, 4.5.2007.

I. Minchev

Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem

HA, 10.30, 4.5.2007.

S. Chiossi (HU Berlin)

Juggling exceptional geometry and solvable Lie groups

DG, 9.00, 27.4.2007.

S. Krysl

Conformal and CR Yamabe problem

HA, 10.30, 27.4.2007.

J. Silhan (Masaryk University)

DG, 9.00, 20.4.2007.

No seminar

HA, 10.30, 20.4.2007.

No seminar

DG, 9.00, 13.4.2007.

S. Armstrong (ESI)

Holonomy and Cartan connections

HA, 10.30, 13.4.2007.

S. Armstrong (ESI)

Holonomy and Cartan connections

DG, 9.00, 6.4.2007.

V. Soucek

Penrose transform

HA, 10.30, 6.4.2007.

M. Panak (Masaryk University)

DG, 9.00, 30.3.2007.

No seminar

HA, 10.30, 30.3.2007.

No seminar

DG, 9.00, 23.3.2007.

P. Somberg

D-modules

HA, 10.30, 23.3.2007.

L. Krizka, M. Sikora

TBA

DG, 9.00, 16.3.2007.

Seminar ECC in Brno

HA, 10.30, 16.3.2007.

Seminar ECC in Brno

DG, 9.00, 9.3.2007.

V. Soucek

Penrose transform and invariant differential operators

HA, 10.30, 9.3.2007.

P. Somberg

D-modules

DG, 9.00, 2.3.2007.

P. Somberg

D-modules

HA, 10.30, 2.3.2007.

P. Franek, D. Eelbode

TBA

DG, 9.00, 23.2.2007.

P. Somberg

D-modules

HA, 10.30, 23.2.2007.

S. Krysl

A spectral property of symplectic Rarita-Schwinger operator on manifolds with zero symplectic Weyl curvature

DG, 9.00, 12.1.2007.

HA, 10.30, 12.1.2007.

R. Graham

Boundary valued problems and pseudodifferential operators

DG, 9.00, 5.1.2007.

V. Soucek

Twistor transform and unitary representations

HA, 10.30, 5.1.2007.

A. Elashvilli

Solvable Lie algebras and singularity theory

DG, 9.00, 22.12.2006.

V. Soucek

Twistor transform and unitary representations

HA, 10.30, 22.12.2006.

Presentations of lectures prepared for WS, Srni

DG, 9.00, 15.12.2006.

P. Somberg

Q-curvature and conformal detour complexes

HA, 10.30, 15.12.2006.

Presentations of lectures prepared for WS, Srni

DG, 9.00, 8.12.2006.

V. Soucek

Twistor transform and unitary representations

HA, 10.30, 8.12.2006.

Presentations of lectures prepared for WS, Srni

DG, 9.00, 1.12.2006.

P. Somberg

9.00-10.00 : Q-curvature and conformal detour complexes

HA, 10.30, 1.12.2006.

V. Soucek

10.05-11.05 : Twistor transform and unitary representations

H. de Bie

11.15-12.05 : Spherical Harmonics and Integration in Superspace
In this talk the classical theory of spherical harmonics in $\mR^m$ is extended to superspace using techniques from Clifford analysis. After defining a super-Laplace operator and studying some basic properties of polynomial null-solutions of this operator, a new type of integration on the supersphere is introduced by exploiting the formal equivalence with an old result of Pizzetti. This integral is then used to prove orthogonality of spherical harmonics of different degree, Green-like theorems and also an extension of the important Funk-Hecke theorem to superspace. We end by discussing some possible further developments.

DG, 9.00, 24.11.2006.

P. Somberg

9.00-10.15 : Q-curvature and conformal detour complexes

HA, 10.30, 24.11.2006.

B. de Knock

10.30-11.20 - Multidimensional distributions and generalized Hilbert transforms in Clifford analysis

I. Sabadini

11.25-12.15 - Toward a theory of megaforms

DG, 9.00, 17.11.2006.

No seminar - feast day

HA, 10.30, 17.11.2006.

No seminar

DG, 9.00, 10.11.2006.

No seminar - EC meeting in Telc

HA, 10.30, 10.11.2006.

No seminar

DG, 9.00, 3.11.2006.

P. Somberg

Q-curvature and conformal detour complexes

HA, 10.30, 3.11.2006.

N. De Schepper

Continuous Clifford wavelet transform (50 min)

P. Somberg

Q-curvature and conformal detour complexes (50 min)

J. Silhan

Tractor calculus

DG, 9.00, 27.10.2006.

P. Somberg

Q-curvature and conformal detour complexes

HA, 10.30, 27.10.2006.

J. Silhan

Tractor calculus

DG, 9.00, 20.10.2006.

P. Somberg

Q-curvature and conformal detour complexes

HA, 10.30, 20.10.2006.

H. V. Le

Special three forms and symplectic geometry

DG, 9.00, 13.10.2006.

No seminar - ME seminar in Brno

HA, 10.30, 13.10.2006.

No seminar

DG, 9.00, 6.10.2006.

P. Somberg

Q-curvature and conformal detour complexes

HA, 10.30, 6.10.2006.

D. Calderbank

Extremal Kaehler metrics

Semináře z minulých období: 2005-2006,