# Graduate Student Colloquium

Date:

11/11/2020 - 4:00pm to 5:00pm

Location:

Zoom

Speaker(s) / Presenter(s):

Justin Barhite

The Hairy Ball Theorem.

Abstract: The hairy ball theorem states that theĀ *n*-dimensional sphere has a nowhere-vanishing continuous vector field if and only if n is odd. I will describe a nifty proof of the theorem, introducing some important tools from algebraic topology along the way, including homotopy, homology, and degree of self-maps of the sphere. (No background knowledge of topology needed!)