Séance Séminaire

Séminaire Algèbre Géométrie Algébrique Topologie Algébrique

Algebraic higher index theorem

In this talk, we present an explicit formula of a cyclic cocycle on the Weyl algebra. We will explain how to use this cocycle to give a new proof of Nest-Tsygan's higher algebraic index theorem on symplectic manifolds. And we will discuss the generalization of this theorem to symplectic orbifolds. This is a joint work with Pflaum and Posthuma.