Upcoming Events
Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Supermanifolds and derived differential geometry
Apr 1, 2022, 1:30 - 2:30 PM
Speaker: David Carchedi, George Mason University
Title: Supermanifolds and derived differential geometry
Abstract: Supermanifolds are a generalization of smooth manifolds to allow extra coordinates that anti-commute. They arise in physics in the study of particles with half integer spin- (fermions), e.g. electrons, protons, neutrons etc. We will show how supermanifolds with extra structure can be used to model non-transverse intersections in differential geometry, and present a theory of derived manifolds.
Time permitting (though unlikely), we will explain how in turn derived differential geometry naturally arises as a tool to make sense of Feynman path integrals in quantum field theory.
Time: Friday, April 1, 2022, 1:30pm – 2:30pm
Place: Exploratory Hall, room 4208
