Mar 21, 2024
Sheaves on Stratified Spaces
Algebraic Geometry and Number Theory Seminar
Date: March 21, 2024 |
1:00 pm –
3:00 pm
Speaker:
Jens Eberhardt, University of Bonn
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
In this talk, we study constructible sheaves on spaces stratified via a Gm-action. We show how to understand the gluing data of these categories geometrically using hyperbolic localisation and the Drinfeld-Gaitsgory interpolation space. In particular, we apply this framework to flag varieties. Here, we explain how the gluing data can be understood explicitly in terms of a new multiplicative structure on open Richardson varieties, which were introduced in the work of Kazhdan-Lusztig. Lastly, we discuss applications in symplectic geometry and geometric representation theory.
This is joint work with Catharina Stroppel.
