[Binghamton Geometry/Topology Seminar] Geometry & Topology seminar

[somnath at math.binghamton.edu]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

*Date:*  Thursday, Nov 8, 2012

*Time:*  2:50-3:50pm
*Place:*  Library North 2205 followed by coffee/tea in the Anderson Reading
Room.

*Speaker: ** *Kevin Klonoff (Binghamton University)
*Title: *Differential Cohomology Theories and Connections to Index Theory
 *
Abstract:* Differential forms give geometric representatives for cocycles
of real cohomology classes via de Rham cohomology. Differential cohomology
theories are refinements of topological cohomology theories whose cocycles
give geometric models for these classes. We will discuss a few examples of
these theories and, in particular, how differential K-theory is the
natural setting for a refinement of the Atiyah-Singer Index theorem.