連続講義(2008年度)

日時 5月12日(月) ~ 5月16日(金)
講演者(所属) Stephen Doty (Loyola University)
タイトル Generalized (q)-Schur algebras
概要 In type A, Schur algebras were introduced by I. Schur roughly 100 years ago in order to characterize the polynomial complex representations of GL(n). Around 1980 J.A. Green wrote a monograph [Springer Lecture Notes 830] explaining their use in understanding the modular representations of general linear and symmetric groups. Since then an explosion of generalizations have occurred, including the introduction of q-analogues of Schur algebras by Dipper &James and, independently, Jimbo (with applications to the representations of the Iwahori-Hecke algebras in type A) and the fundamental theory of "generalized Schur algebras" due to Donkin. In these talks, I will survey what is known about Schur algebras and q-Schur algebras and how they relate to algebraic groups and quantum groups.
日時 5月12日(月) ~ 5月16日(金)
講演者(所属) Peter Fiebig (Freiberg University)
タイトル Sheaves on affine flag manifolds and Lusztig's conjecture
概要 The theory of moment graphs is one of the main ingredients in a recent new proof of Lusztig's multiplicity conjecture for quantum groups and for algebraic groups in almost all characteristics. In this series of lectures I will survey the theory of moment graphs and explain how it can be used to link the topology of affine flag manifolds to Lusztig's conjecture.
最終更新日: 2008年11月13日