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Date:  Tuesday, March 12, 2013

Title:  Ziwet Lectures: Lecture I: The Kervaire invariant problem

Abstract:  Lecture I: The Kervaire invariant problem Abstract: In this talk I will describe the history of the Kervaire invariant problem and its solution by Mike Hill, myself, and Doug Ravenel. Lecture II: Equivariant homotopy theory and the solution to the Kervaire invariant problem. Abstract: Our solution to the Kervaire invariant problem made essential use of group actions in algebraic topology. In this talk I will describe some of the basic ideas in equivariant homotopy theory and how they are used to study the Kervaire invariant problem. Lecture III: Equivariant multiplicative closure Abstract: The "multiplicative closure" of a set of elements in a commutative ring is the set of all products of powers of those elements. One of the innovations used in our solution to the Kervaire invariant problem revealed an unexpected subtlety in the analogue of this notion in equivariant homotopy theory. In this talk I will describe this analogy and explain the subtlety and the structures needed to deal with it.


Speaker:  Mike Hopkins
Institution:  Harvard University

 

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