Localization theorem for algebraic stacks

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

Tuesday 6 Sept 2022, 16:00 → 17:00 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.