Title of the mini-course: The Kervaire Invariant One problem by Mike Hill (University of Virginia).

Abstract:

I’ll be speaking about the mathematics surrounding the solution with Hopkins and Ravenel to the Kervaire Invariant One problem. In particular, I’ll describe basics of stable homotopy, the geometry needed to link the underlying surgery problem to one in the Adams spectral sequence, and the equivariant machinery used to resolve the problem.

Tentative dates: 

Tuesday, July 23, 2013

3:00 pm – 5:00 pm; Room: B4; Frame Manifolds & Pontoyajin’s theorem

Wednesday, July 24, 2013

9:30 am – 11:30 am; Room: B4; Classical Stable Homotopy: Spectra

Thursday, July 25, 2013

9:30 am – 11:30 am; Room: B4; Steeniod algebra & Adams spectial sequence, Browder’s theorem

Friday, July 26, 2013

9:30 am – 11:30 am; Room: B4; Adams – Novikov Spectral Sequence, the Detection Theorem; Formal Group Laws & BP.

Monday, July 29, 2013

9:30 am – 11:0 am; Room: C2; Equivariant Homotopy Theory: Spectra

Tuesday, July 30, 2013

9:30 am – 11:30 am; Room: C2; The equivariant spectrum MUR and its homotopy

Wednesday, July 31, 2013

9:30 am – 11:30 am; Room: C2; The Norm

Thurday, August 01, 2013

9:30 am – 11:30 am; Room: C2; The Periodicity & Homotopy Fixed Points Theorem

Friday, August 02, 2013

9:30 am – 11:30 am; Room: C2; What’s next?