# General Covariance from the Viewpoint of Stacks

General Covariance from the Viewpoint of Stacks

Filip Dul, UMass Amherst

Date and time:
Mon, Dec 06, 2021 - 12:20pm

Location:
LGRT 1634

Category:
Joint Math/Physics Seminar

Special notes:

Postponed from November 29

Abstract:

General covariance is a crucial notion in the study of ﬁeld theories on curved spacetimes. Roughly, a generally covariant field theory is one that is defined with respect to a background semi-Riemannian metric such that it is only sensitive to the diffeomorphism classes of that metric. In other words, the bundle of theories over the space of semi-Riemannian metrics is equivariant with respect to the diffeomorphism group of the underlying spacetime. In this talk, we will make the preceding ideas precise by using stacks and introducing examples.

## Department of Physics

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