# Past Representation Theory Seminar

26 February 2004
14:30
Steffen Koenig
Abstract
• Representation Theory Seminar
12 February 2004
14:30
Manfred Schocker
Abstract
• Representation Theory Seminar
5 February 2004
14:30
Will Turner
Abstract
• Representation Theory Seminar
29 January 2004
14:30
R Bryant
Abstract
• Representation Theory Seminar
27 November 2003
17:00
Peter Littlemann
Abstract
Let $G$ be a complex semisimple algebraic group. We give an interpretation of the path model of a representation in terms of the geometry of the affine Grassmannian for $G$. In this setting, the paths are replaced by LS--galleries in the affine Coxeter complex associated to the Weyl group of $G$. The connection with geometry is obtained as follows: consider a Bott--Samelson desingularization of the closure of an orbit $G(\bc[[t]]).\lam$ in the affine Grassmannian. The points of this variety can be viewed as galleries of a fixed type in the affine Tits building associated to $G$. The retraction of the Tits building onto the affine Coxeter complex induces in this way, a stratification of the $G(\bc[[t]])$--orbit, indexed by certain folded galleries in the Coxeter complex. The connection with representation theory is given by the fact that the closures of the strata associated to LS-galleries are the Mirkovic-Vilonen--cycles, which form a basis of the representation $V(\lam)$ for the Langland's dual group $G^\vee$.
• Representation Theory Seminar
27 November 2003
15:00
Ralph Stoehr
Abstract
• Representation Theory Seminar
20 November 2003
16:30
Frederic Patras
Abstract
• Representation Theory Seminar
13 November 2003
16:30
Rachel Taillefer
Abstract
• Representation Theory Seminar
16 October 2003
16:30
Mark Wildon
Abstract
• Representation Theory Seminar