On 29 November the seminar meets offline in room 303 of the Independent
University of Moscow, on 19:20 MSK, simultaneously, there will be
broadcast via Zoom.

Speaker: Maxim Grigoriev
Title: Presymplectic minimal models of local gauge theories
Language: English
Zoom:
https://us06web.zoom.us/j/8817121842?pwd=23zQ6KZLDaTG1Bb3XNI18sQ5OvvaXy.1&omn=89846246136
Zoom Passcode: 2911

Abstract:

We describe how the BV-AKSZ construction (or, more generally, finite
dimensional symplectic gauge PDE) can be extended to generic local gauge
field theories including non-topological and
non-diffeomorphism-invariant ones. The minimal formulation of this sort
has a finite-dimensional target space which is a pre Q-manifold equipped
with a compatible presymplectic structure. The nilpotency condition for
the homological vector field is replaced with a presymplectic version of
the classical BV master equation. Given such a presymplectic BV-AKSZ
formulation, it defines a standard jet-bundle BV formulation by taking a
symplectic quotient of the respective super jet-bundle. In other words
all the information about the underlying PDE, its Lagrangian, and the
corresponding BV formulation turns out to be encoded in the finite
dimensional graded geometrical object. Standard examples include
Yang-Mills, Einstein gravity, conformal gravity etc.


The seminar meets on Wednesday evenings at 19:20 MSK in room 303
and in Zoom, Meeting ID: 88 17 12 1842
--
FROM 211.161.217.*