Speaker: Giovanni Felder (ETH Zurich)
Title: Deformation quantization and branes
Date: Fri, Dec 11, 2009, 10:30 - 15:00
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.
Remarks: break between 12:00 and 13:30