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!)


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