Department of Mathematics

Indian Institute Of Technology Madras , Chennai

Goldman bracket : center and geometric intersection number

Speaker : Dr. Arpan Kabiraj, Chennai Mathematical Institute (CMI)

02-03-2017

Abstract :

In the 1980s Goldman introduced a Lie algebra structure on the free vector space generated by the free homotopy classes of oriented closed curves in any orientable surface F. This Lie bracket is known as the Goldman bracket and the Lie algebra is known as the Goldman Lie algebra. In this talk I will discuss some basic properties of the Goldman bracket and its relation with Teichm├╝ller space. I will also show how techniques from geometric group theory could be used to compute the center of the Goldman Lie algebra. I will mention some open problems related to the Goldman bracket. If time permits, I will show a method to compute geometric intersection number using Goldman bracket.

Key Speaker Dr. Arpan Kabiraj, Chennai Mathematical Institute (CMI)
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None