Hopf Algebras and Cohomology of Lie Groups

Series
Geometry Topology Student Seminar
Time
Wednesday, April 1, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Location
Online
Speaker
Tao Yu – Georgia Tech
Organizer
Hongyi Zhou

In 1941, Hopf gave a proof of the fact that the rational cohomology of a compact connected Lie group is isomorphic to the cohomology of a product of odd dimensional spheres. The proof is natural in the sense that instead of using the classification of Lie groups, it utilizes the extra algebraic structures, now known as Hopf algebras. In this talk, we will discuss the algebraic background and the proof of the theorem.