Department of Mathematics

Indian Institute Of Technology Madras , Chennai

An analytic proof of "Hairy Ball Theorem"

Speaker : Samprita Das Roy, Research Scholar, Department of Mathematics IITM

01-04-2019

Abstract :

In this talk we shall see a proof of the famous " Hairy Ball Theorem" ( an even dimensional sphere does not admit any continuous field of non-zero tangent vectors). This theorem was first stated by Henri Poincare` in the late 19th century. Later this has been proved using homology theory, differential forms or methods from geometric topology. John Milnor gave a proof solely using elementary multivariable calculus, which was published in American Mathematical Monthly in 1978, and we shall be studying the same in the talk.

Key Speaker Samprita Das Roy, Research Scholar, Department of Mathematics IITM
Place NAC 519
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None