For more information about this meeting, contact Calder Daenzer, Nigel Higson, Mathieu Stienon, Ping Xu.
| Title: | Some observations towards the algebraic index theorem |
|---|
| Seminar: | GAP Seminar |
|---|
| Speaker: | Ryan Grady, Notre Dame |
|---|
| Abstract: |
|---|
| This talk is largely based on joint work with O. Gwilliam (Northwestern) where we build a quantum field theory which we call topological quantum mechanics. The construction is a dance through the realms of derived geometry, effective field theory, and the Batalin-Vilkovisky formalism. The global observables of topological quantum mechanics, which are a deformation of de Rham forms by the partition function, encode the Todd class (resp. the \hat{A} class in the smooth setting) of the manifold over which the theory lives. By performing a more refined analysis of the observables we recover differential operators and a new proof of the algebraic index theorem of Nest and Tsygan. No familiarity with quantum field theory will be assumed in this talk. |
Room Reservation Information
| Room Number: | MB106 |
|---|
| Date: | 11 / 15 / 2011 |
|---|
| Time: | 02:30pm - 03:30pm |
|---|
