Speaker: Giovanni Felder (ETH Zurich)
Title: Deformation quantization and branes.
Date: Thu, Dec 10, 2009, 15:30 - 17:00
Place: Seminar Room at IPMU Prefab. B
Abstract: I will review the Kontsevich formality theorem for
Hochschild cochains and
explain the relation to the deformation theory of the algebra of
functions on
a smooth manifold. The construction is based on a perturbative
sigma model. I will discuss some recent developments, based on
considering D-brane boundary conditions for this sigma model.
Applications include quantization of hamiltonian reduction, modules and
bimodules over quantized algebras, Koszul duality and the presentation
quantized algebras by generators and relations.