Topology and Geometry Seminar

Wed., Sep. 13, 2023 2:00 p.m.

Location: CL 305

Speaker: Francis Bischoff, University of Regina

Title: How does a Lie algebra encode a space?

Abstract:

The fundamental principle of derived deformation theory is that a formal “space” (i.e. a formal moduli problem) can be encoded by a differential graded Lie algebra. The plan for our learning seminar this term will be to unpack and understand this statement. For the first talk of the seminar, I will give some motivation and outline the big picture. In particular, I will present a very illuminating example of the principle: how to encode the "derived" vanishing locus of a function into a Lie (or L-infinity) algebra using the Taylor expansion.

Topology and Geometry Seminar: https://www.reginatopology.ca/seminar