21. Mar 2024
Sheaves on Stratified Spaces
Algebraic Geometry and Number Theory Seminar
Datum: 21. March 2024 |
13:00 –
15:00
Sprecher:
Jens Eberhardt, University of Bonn
Veranstaltungsort: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Sprache:
Englisch
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.