Fall 2000: Bedlewo - Unendlich-dimensionale Analysis und Geometrie

Workshop Lie Groups und Lie Algebras Bedlewo, September 4-15, 2000

9:00-9:50	Joseph A. Wolf	The Bott-Borel-Weil Theorem for Direct Limit Groups I. Structure of Direct Limit Groups and Algebraic Ind-Groups
10:00-10:50	Karl-Hermann Neeb	Unitary highest weight representations of locally finite Lie algebras I
11:00-11:30	Coffee Break
11:30-12:30	Bent Orsted	Unitary representations of infinite dimensional Lie groups of hermitian type I
13:00-14:00	Lunch
No lectures in the afternoon

9:00-9:50	Hideki Omori	Generalized Lie groups and the setup for exact quantization
10:00-10:50	Helge Glöckner	Universal Complexifications of Banach Lie Groups
10:50-11:10	Coffee	Break
11:10-12:00	Gerard Misiolek	Diffeomorphism groups and nonlinear pde's
12:10-13:00	Wojciech Wojtyñski	Banach string-Lie groups
13:00-15:00	Lunch	Break
15:00-15:50	Peter Maier	On central extensions of certain infinite-dimensional Lie groups
16:00-16:50	Claus Mokler	The C-valued points of the algebra of strongly regular functions of a Kac-Moody group

9:00-9:50	Joseph A.Wolf	The Bott-Borel-Weil Theorem for Direct Limit Groups II
10:00-10:50	Karl-Hermann Neeb	Unitary highest weight representations of locally finite Lie algebras II
10:50-11:10	Coffee	Break
11:10-12:00	Bent Orsted	Unitary representations of infinite dimensional Lie groups of hermitian type
12:10-13:00	Günther Czichowski	Structure Groups and Equivalence of Abel and Lie Equations
13:00-15:00	Lunch	Break
15:00-15:50	Alice Fialowski	Construction of Miniversal Deformations of Lie Algebras
16:00-16:50	Cornelia Vizman	Diffeomorphism groups with right invariant metrics: geodesics and curvature
16:50-17:15	Coffee	Break
Special Lecture
17:15-18:00	Joseph A.Wolf:	Crash Course – Cartans, roots and parabolics

9:00-9:50	Hideki Omori	One must break symmetry in order to keep associativity
10:00-10:50	Gerard Misiolek	Diffeomorphism groups and nonlinear PDE's: II
10:50-11:10	Coffee	Break
11:10-12:00	Thomas Friedrich	Weak holonomy in dimension n=16
12:10-13:00	Ilka Agricola	On the algebra of K-invariant vector fields on a symmetric space G/K
13:00-15:00	Lunch	Break
15:00-15:50	Special Lecture Gerard Misiolek	Groups of diffeomorphisms, Euler equations – Arnold’s Style

9:00-9:50	Joseph A. Wolf	The Bott-Borel-Weil Theorem for Direct Limit Groups III
10:00-10:50	Karl-Hermann Neeb	Unitary highest weight representations of locally finite Lie algebras III
10:50-11:10	Coffee	Break
11:10-12:00	Bent Orsted	Unitary representations of infinite dimensional Lie groups of hermitian type
12:10-13:00	Thomas Friedrich	Weak holonomy in dimension n=16
13:00-15:00	Lunch	Break
15:00-15:50	Jouko Mickelsson	Approximative representations of gauge groups from quantization
16:00-16:50	Harald Biller	Continuous tensor products of highest weight representations
16:50-17:10	Coffee	Break
17:10-18:00	Erhard Weidenauer	Decomposition of loop groups

10:00-10:50

Jacques Faraut

Introduction to causal symmetric spaces

11:00-11:30

Coffee

Break

11:30-12:30

Joachim Hilgert

Geodesic flows on locally symmetric spaces

13:00-15:00

Lunch

Break

15:00-15:50

Takaaki Nomura

Laplace–Beltrami operators and Berezin transforms on homogeneous Siegel domains

16:00-16:50

Harald Loewe

The classification of symmetric planes

16:50-17:10

Coffee

Break

17:10-18:00

Wolfgang Bertram

Symmetric spaces with Jordan structure

9:00-9:50	Jouko Mickelsson	Gerbes and infinite-dimensional Lie groups
10:00-10:50	Jacques Faraut	Laplace spherical analysis on ordered symmetric spaces
10:50-11:10	Coffee	Break
11:10-12:00	Ewa Damek	Harmonic and pluriharmonic functions on symmetric Siegel domains
12:10-13:00	Wolfgang A. F. Ruppert	Asymptotics of subsemigroups of SL(2,R)
13:00-15:00	Lunch	Break
15:00-15:50	Hans Plesner Jakobsen	Deformation quantization connected with quadratic algebras and Lie algebras
16:00-16:30	Bartosz Trojan	Pluriharmonic functions on homogeneous Siegel domains
16:30-17:00	Coffee	Break
17:00-17:50	Michael Wüstner	Factoring a Lie group into a compactly embedded and a solvable subgroup

9:00-9:50	Wolfgang Bertram	Symmetric spaces with Jordan structures II
10:00-10:50	Angela Pasquale	Regularity of generalized Harish-Chandra's expansions
10:50-11:10	Coffee Break
11:10-12:00	Daniel Beltita	Spectral theory within the framework of locally solvable Lie algebras
12:10-13:00	Alexander Alldridge	Toeplitz operators on Hardy spaces associated with SL(2,R)
13:00-14:00	Lunch
14:00-18:00	Walk to the forest (In case of bad weather, there will be lectures according to the Thursday’s afternoon schedule)

9:00-9:50	Jacques Faraut	Laplace spherical analysis on ordered symmetric spaces II
10:00-10:50	Wolfgang Bertram	Symmetric spaces with Jordan structures III
10:50-11:10	Coffee Break
11:10-12:00	Gerrit van Dijk	Canonical representations
12:10-13:00	Margit Roesler	Multivariable Bessel functions related with root systems
13:00-15:00	Lunch Break
15:00-15:30	Ewa Gnatowska	Weyl algebra and Hahn polynomials
15:30-16:00	Aleksei Kuchin	An analogue of Hilbert transform for the hyperboloid of one sheet
16:00-16:20	Coffee Break
16:20-16:50	Roman Urban	Unbounded harmonic functions on homogeneous manifolds of negative curvature
17:00-17:50	Joachim Hilgert	Geodesic flows on locally symmetric spaces
19:00	Dinner

9:00-9:50	Jacques Faraut	Laplace spherical analysis on ordered symmetric spaces II
10:00-10:50	Paolo Ciatti	A Clifford algebra approach to real simple Lie algebras
10:50-11:10	Coffee Break
11:10-12:00	Michael Pevsner	Canonical representations
12:10-13:00	Aleksander Strasburger	Bochner-Coifman-Howe periodicity relations
13:00	Closing and Lunch