Andrzej Borowiec: Fyrirlestrar um heimsfræði

Benedikt Magnússon, september 10, 2014

Fyrirlestraröð

Fyrirlesari: Andrzej Borowiec
Titill: Twisted techniques in deformation quantization.

Part 2: Thursday, September 11th, 16:00-17:30 in room V-156, VR-II.
Part 3: Friday, September 12th, 15:00-16:30 in room V-155, VR-II.

Abstract:

Deformation quantization is a generalization of Weyl quantization extended to Poisson manifolds (Fedosov, Kontsevich). It is based on deformation theory of algebraic structures introduced by Gerstenhaber.
Twisted tensor techniques proposed by Drinfeld in the context of quantum groups become an important tool of noncommutative geometry for constructing new quantum spaces and their symmetries. I will show how these notions are related and briefly discuss some recent results.

Part 2 will start with a brief summary of Part 1.