Geometry/Physics Seminar

Title: Smith theory and Geometric Hecke algebras
Speaker: David Treumann
Speaker Info: Northwestern
Brief Description:
Special Note:

In 1960 Borel proved a "localization" result relating the rational cohomology of a topological space X to the rational cohomology of the fixed points for a torus action on X. This result and its generalizations have many applications in Lie theory. In 1940, PA Smith proved a similar localization result relating the mod p cohomology of X to the mod p cohomology of the fixed points for a Z/p-action on X. I will discuss Z/p-localization on loop groups, and how it is related via the geometric Satake correspondence to some special homomorphisms that exist between algebraic groups over fields of small characteristic, and to the Frobenius morphism.
Date: Thursday, January 6, 2011
Time: 4:00pm
Where: Lunt 107
Contact Person: David Treumann
Contact email: treumann@math.northwestern.edu
Contact Phone:
Copyright © 1997-2024 Department of Mathematics, Northwestern University.