Colloquium
University of Texas at Arlington - Department of Mathematics
Proudly Presents
Dr. Vera Serganova
Professor of Mathematics
University of California, Berkeley
Friday, April 15, 2016
3:00 p.m.
311 Pickard Hall
“From tensor categories to supersymmetry and back”
Abstract:
Symmetric monoidal tensor categories are generalization of finite-dimensional vector spaces
and finite-dimensional representation of groups. One important example is the category of
vector superspaces, which leads to the notion of supersymmetry. Supersymmetry is an
important tool in topology and physics. It also gives rise to a new branch in representation
theory which has many interesting open problems. The goal of the talk is to show how both
theories, supersymmetry and tensor categories, enrich each other. In particular, a connection
with Deligne's category Rep GL(t) will be discussed. Only knowledge of linear algebra and
simple facts about finite groups will be needed for understanding.
Refreshments before the talk and socializing following the talk
http://www.uta.edu/math/seminars/