Ohio State is in the process of revising websites and program materials to accurately reflect compliance with the law. While this work occurs, language referencing protected class status or other activities prohibited by Ohio Senate Bill 1 may still appear in some places. However, all programs and activities are being administered in compliance with federal and state law.

Invitations to Mathematics Lecture Series

The Golden Hourglass by Craig Schaffer
October 25, 2017
4:05 pm - 5:35 pm
Cockins Hall 240

Speaker: Sachin Gautam

Title: Monodromy problems in representation theory

Abstract: Quantum groups are certain Hopf algebras introduced in the eighties by Drinfeld and Jimbo. Among other things, Drinfeld (and Kohno) proved that the quantum groups are natural receptacles for the monodromy of certain first order PDE's, called Knizhnik-Zamolodchikov equations. In this talk, I will introduce the analytic and algebraic characters of this story and go over the statement of the Kohno-Drinfeld theorem. I will also explain a few variants of this theorem, some of them still conjectural, which hint at interesting connections between representation theory and the problem of computing monodromy.

Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn and Spring semesters. Pre-candidacy students can sign up for this lecture series by registering for one or two credit hours of Math 6193, class #16988 (with Prof H. Moscovici).

Events Filters:

Seminar - Invitations to Mathematics