Introduction to equivariant localization in quantum field theory (Maxim Zabzine, Uppsala)

26.03.2020 14:00 – 16:00

In these lectures I will introduce the main ideas behind the Atyah-Bott theorem which is mathematical statement about the situation when a semi-classical approximation for an integral is exact. I will explain the finite dimensional proof of this theorem using ideas from supergeometry and supersymmetry. The second part of the lectures will be devoted to the infinite dimensional application of the Atyah-Bott theorem in the context of quantum field theory. I will consider the Chern-Simons theory on three dimensional manifolds with an isometry. On the way I will review some basic stuff about the Faddeev-Popov ghosts and the cohomological field theory associate to the Chern-Simons theory. If time allows, I will make some general comments about further applications of equivariant localization in QFT.

Lieu

Bâtiment: Battelle

UNUSUAL DAYS !!!

Organisé par

Faculté des sciences
Section de mathématiques

Intervenants

Maxim Zabzine, Uppsala

entrée libre

Classement

Catégorie: Atelier