PIRSA:17010004

BV formalism and derived symplectic geometry

Rozenblyum, N. (2017). BV formalism and derived symplectic geometry. Perimeter Institute. https://pirsa.org/17010004

Rozenblyum, Nikita. BV formalism and derived symplectic geometry. Perimeter Institute, Jan. 16, 2017, https://pirsa.org/17010004 

          @misc{ pirsa_PIRSA:17010004,
            doi = {10.48660/17010004},
            url = {https://pirsa.org/17010004},
            author = {Rozenblyum, Nikita},
            keywords = {Mathematical physics},
            language = {en},
            title = {BV formalism and derived symplectic geometry},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {jan},
            note = {PIRSA:17010004 see, \url{https://pirsa.org}}
          }

Nick Rozenblyum University of Chicago

DOI 10.48660/17010004
Collection
Talk Type Scientific Series
Subject

Abstract

We will describe a formulation of the Batalin-Vilkovisky formalism using derived symplectic geometry.  In this setting, the classical master equation of the BV formalism describes a space of coisotropic structures.  Using this approach, we resolve a conjecture of Felder-Kazhdan regarding BRST cohomology.  Time permitting, we will also describe applications of these ideas to more general quantization problems.