Principles of support varieties for relative Hochschild cohomology

event Friday, October 21, 2022
access_time 3:45pm (CDT)
room PHSC 1105
free_breakfast Tea at 3:15pm (CDT) in PHSC 424
info An earlier announcment had the wrong time and said there wasn't tea, but this was a mistake. There will be tea at 3:15 PM, and the talk will begin at 3:45 PM.

Abstract: The Balmer spectrum of a tensor triangulated category is a topological tool analogous to the usual spectrum of a commutative ring. It provides a universal theory of support, giving a categorical framework to (among others) the support varieties that have been used to great effect in modular representation theory. In this talk I will give a brief overview of the support theory for Hochschild cohomology and present the basic definitions and properties of support varieties in relative Hochschild cohomology. This will include an unpretentious introduction to the Balmer spectrum and its appearances in representation theory, as well as the basic notions of relative homological algebra. The talk will conclude with reasons to be hopeful for applications to Lie superalgebras.


For more information on this event, please contact Travis Mandel.