Topology Seminar-  On SL(2,C) character varieties of torus knots of type (m,n).

 
Speaker: Cigole Thomas (George Mason University)
Date and time: Tuesday, March 10, 4:45--6:00pm
Place: 1776 G street,  C-119
Title:  On SL(2,C) character varieties of torus knots of type (m,n).

Abstract: .In this talk, I will start with a brief introduction to character varieties and then discuss computing the character varieties of specific surfaces starting with unknot. The focus of the talk will be on computing the character varieties of torus knots of the type $(m,n)$based on the work by Vincent Munoz. If time permits, I will conclude the talk with a short discussion of my work related to the mapping class group action on character varieties over finite fields. No prior knowledge of algebraic geometry will be assumed.