Topology Seminar

Title: Homotopy groups of spheres and the strong Kervaire invariant problem in dimension 62
Speaker: Zhouli Xu
Speaker Info: University of Chicago
Brief Description:
Special Note:

Computing and understanding the homotopy groups of spheres is one of the most important and interesting questions in algebraic topology. In this talk, I will first review the known stemwise stable computations at the prime 2. Then I will explain basic properties of Toda brackets and Massey products. In particular, I will briefly discuss a recent proof of a classical Adams differential using Massey products and motivic computations. Finally, I will talk about the current status of the strong Kervaire invariant problem in dimension 62, including a sketch of the proof that twice theta five is zero.
Date: Monday, February 9, 2015
Time: 4:10pm
Where: Lunt 104
Contact Person: Prof. Paul Goerss
Contact email: pgoerss@math.northwestern.edu
Contact Phone: 847-491-8544
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