PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Nigel Higson, Ping Xu, Mathieu Stienon.

Title:Localization formulae in odd K-theory
Seminar:Noncommutative Geometry Seminar
Speaker:Daniel Cibotaru, Notre Dame
In the mid 80's Singer asked for a generalization of the spectral flow to higher dimensions. We describe a class of real Banach manifolds, each classifying K_1. These are certain Grassmannians of (hermitian) Lagrangian subspaces in a Hilbert space. We build geometric representatives for the generators of the cohomology rings of these spaces. Given an S^1-family self-adjoint, Fredholm operators, in transversal conditions, the pull-back via the classifying map of the first such generator is Poincare dual to the spectral flow. We describe the localization formulae which hold for the higher cohomology classes.

Room Reservation Information

Room Number:MB106
Date:03 / 26 / 2009
Time:02:30pm - 03:30pm