Geometric and algebraic aspects in the quantization of gauge theories

Eugenia Boffo (Charles U, Prague)

Jan 17. 2025, 10:40 — 11:05

The Batalin--Vilkovisky formalism, developed in the '80s, is a useful tool in the perturbative quantization of gauge theories. A key feature of this procedure is the enlargement of the already infinite-dimensional space of fields by extra fields with opposite parity. In this talk, I will give a short review of BV and its geometry, with emphasis on the algebraic aspects (homotopy algebras, cohomology), and then discuss some examples like Chern--Simons theory and a field theory for the Beltrami differential, for the deformations of complex structures.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Infinite-dimensional Geometry: Theory and Applications (Thematic Programme)
Organizer(s):
Tomasz Goliński (U of Białystok)
Gabriel Larotonda (U of Buenos Aires)
Alice Barbara Tumpach (WPI, Vienna)
Cornelia Vizman (WU of Timisoara)