2 p.m. - 3 p.m. Location: JO 4.614
Dept of Mathematics, Texas Tech University
Theta Functions and Knots
We will explain how to relate classical theta functions to knots and how to produce the main constructs of abelian Chern-Simons theory using insights from representation theory. This approach does not use quantum field theory and hence is different from Witten's. We will exhibit a quantum group model for the action of the Heisenberg group and of the modular group on theta functions.
The talk is based on the joint work of the speaker with Alejandro Uribe and Alastair Hamilton, and consists of material that makes the object of a recent book (with the same title) of the speaker.
Sponsored by the Department of Mathematical Sciences
John Zweck, 972-883-6699
Questions? Email me.