Act globally, compute locally: group actions, fixed points and localization

Members' Seminar
Topic:Act globally, compute locally: group actions, fixed points and localization
Speaker:Tara Holm
Affiliation:Cornell University; von Neumann Fellow, School of Mathematics
Date:Monday, October 20
Time/Room:2:00pm - 3:00pm/S-101
Video Link:http://video.ias.edu/membersem/2014/1020-TaraHolm

Localization is a topological technique that allows us to make global equivariant computations in terms of local data at the fixed points. For example, we may compute a global integral by summing integrals at each of the fixed points. Or, if we know that the global integral is zero, we conclude that the sum of the local integrals is zero. This often turns topological questions into combinatorial ones and vice versa. I will give an overview of how this technique arises in symplectic geometry.