PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Jason Morton.

Title:Categorifying quantum groups using planar diagrammatics
Seminar:Applied Algebra Seminar
Speaker:Aaron Lauda, USC
Abstract Link:http://www-bcf.usc.edu/~lauda/Aaron_Laudas_Page/Home.html
Abstract:
Geometric representation theory has a revealed a deep connection between geometry and quantum groups suggesting that quantum groups are shadows of richer algebraic structures called categorified quantum groups. Crane and Frenkel conjectured that these structures could be understood combinatorially and applied to low-dimensional topology. In this lecture we will categorify quantum groups using a simple diagrammatic calculus that requires no previous knowledge of quantum groups. We will also survey the applications of this theory to representation theory and low-dimensional topology. (Joint with Mikhail Khovanov)

Room Reservation Information

Room Number:MB106
Date:03 / 21 / 2012
Time:02:30pm - 03:20pm