Andrzej Borowiec (28/08/14)

Benedikt Magnússon, ágúst 25, 2014

Málstofa í stærðfræði

Fyrirlesari: Andrzej Borowiec, University of Wroclaw, Institute for Theoretical Physics
Titill: Twisted techniques in deformation quantization

Staðsetning: V-155, VRII
Tími: Fimmtudaginn 28. ágúst, frá 16:00 til 17:30.

Ágrip:

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.