Speaker
P S Chakroborty
Title
Dimension Spectrum for Quantum Double Suspensions
Abstract
Notion of dimension spectrum was introduced by Connes and Moscovici in their discussion on the local index formula as the set of singularities of certain zeta like functions coming from explicit realization of K-homology classes. Unfortunately there are not many examples where one can prove the meromorphic continuation of the functions involved. Heat kernel expansion allows one to conclude meromorphic continuation and also gives the dimension spectrum. We will show quantum double suspension produces new examples where heat kernel expansion holds. This yields new examples where one can compute the dimension spectrum and verify the hypothesis of the local index formula.