|Speaker:||Giovanni Felder (ETH Zurich)|
|Title:||Deformation quantization and branes.|
|Date (JST):||Thu, Dec 10, 2009, 15:30 - 17:00|
|Place:||Seminar Room at IPMU Prefab. B|
I will review the Kontsevich formality theorem for
Hochschild cochains and
explain the relation to the deformation theory of the algebra of
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.