PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Nigel Higson, Mari Royer, John Roe.

Title:K-theory and Fredholm operators, I
Seminar:Noncommutative Geometry Seminar
Speaker:Nigel Higson, Penn State
Abstract:
The index of a continuous family of Fredholm operators may be constructed as an element in the topological K-theory of the parameter space. I'll review the construction, which goes back to the early days of index theory, and then discuss noncommutative generalizations involving Banach algebras and Frechet algebras, following the work of Kasparov and Lafforgue. Finally I'll discuss a relationship between topological K-theory and pairs of adjoint functors between categories of modules.

Room Reservation Information

Room Number:MB106
Date:01 / 30 / 2014
Time:02:30pm - 03:30pm