A derived geometric perspective on the BV complex.

Albin Grataloup (U Montpellier)

Nov 08. 2021, 16:00 — 16:25

The BV complex provides homological tools to handle the quotient of the critical locus of a functional by the symmetries of the system. However the usual construction is algebraic, and the underlying geometric idea is not clear from it. My goal is to explain how, in the context of derived geometry, we can define BV as a homotopy quotient of the critical locus together with a Lagrangian correspondence that makes BV look like the symplectic reduction of the critical locus, and recover the classical construction from it.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures Emerging from Renormalisation (Graduate School)
Pierre Clavier (U of Haut-Alsace)
Kurusch Ebrahimi-Fard (NTNU, Trondheim)
Peter K. Friz (TU Berlin)
Harald Grosse (U of Vienna)
Dominique Manchon (U Clerment Auvergne)
Sylvie Paycha (U of Potsdam)
Sylke Pfeiffer (U of Potsdam)