|Date: Friday, October 03, 2014
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: An algebraic study of extension algebras and its applications
Abstract: It is well-known that the category of representations of real and p-adic groups are equivalent to module categories of algebras that arise from algebraic varieties with algebraic group actions. We first present a quite general setting which allow us to construct a theory of standard modules including the above two cases. Then, we present some of its consequences including a homological characterization of Kostka polynomials and the positivity of some expansion constants in some quantum groups, that were not known previously.
If time and situation permitting, we will also discuss the construction of a new class of modules arising from the above framework.
Speaker: Syu Kato
Institution: Kyoto University