talk 3: Standard Extension algebras and Fukaya calculus

31 Mar 2025, 14:00
50m

Speaker

Catharina Stroppel (Rheinische Friedrich-Wilhelms-Universität Bonn)

Description

In this talk I will talk about an old Lie theoretic problem, namely the computation of extensions between (parabolic) Verma modules and their composition. We give a description of the corresponding algebra of extension in terms of convolution algebras and cohomology of Kazhdan-Lusztig-Deodhar-Richardson varieties. In the special example of maximal parabolic Verma modules for sl_n we give an explicit combinatorial model and connect this with Fukaya categories.

Presentation materials