School of Mathematics Seminars and Lectures

Localization theorem for algebraic stacks

by Dr. Charanya Ravi (Max Planck Institute for Mathematics, Bonn)

Tuesday, September 6, 2022 from to (Asia/Kolkata)
Abstract: The classical Atiyah-Bott localization theorem in equivariant
singular cohomology for spaces with torus action is one of the main
computational tools in enumerative geometry. The need to access general
parameter spaces (singular and stacky) and the need for refined counts (in
other cohomology theories) motivates the need for a more general
localization theorem. In this talk, based on recent joint work with Dhyan
Aranha, Adeel Khan, Alexei Latyntsev and Hyeonjun Park, we will discuss
such a unified Atiyah-Bott localization theorem for equivariant cohomology
theories of algebraic stacks.