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Analysis Seminar - The Borsuk-Ulam Theorem and Graded Algebras

Ben Passer, Department of Mathematics, Washington University in St. Louis

November 25, 2013 - 4:00 pm to 5:00 pm
Location: Cupples I, Room 199 | Hosts: Profs. John McCarthy & Xiang Tang

Abstract: The Borsuk-Ulam Theorem states that any odd, continuous function from an n-dimensional sphere to n-dimensional Euclidean space has a zero. I will present a new and remarkably simple proof by Ali Taghavi of this theorem in dimension 2, in the context of graded Banach algebras, as well as possible generalizations to noncommutative algebras.

 

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