MS Seminar (Mathematics - String Theory)

Speaker: Giovanni Felder (ETH Zurich)
Title: Periodic cyclic homology in deformation quantization
Date: Fri, Dec 04, 2009, 15:30 - 17:00
Place: Seminar Room at IPMU Prefab. B
Abstract: The formality theorem for cyclic chains provides an isomorphism
between the periodic cyclic homology of a quantized algebra of functions
on a manifold and the de Rham cohomology of the manifold. We show that this
isomorphism is compatible with Getzler's Gauss-Manin connection. Applications
to the algebraic index theorem will be presented. The talk is based on
joint work with Alberto Cattaneo and Thomas Willwacher.