Special Colloquium

Danny Shi, University of Chicago

"Chromatic homotopy theory, equivariant homotopy theory, and the Kervaire invariant"

I will talk about the complex cobordism spectrum and its role in studying the stable homotopy groups of spheres.  Then, I will talk about the proof of the celebrated Kervaire invariant one problem by Hill—Hopkins—Ravenel using an equivariant refinement of the complex cobordism spectrum and equivariant stable homotopy theory.  These newly established techniques allow one to use equivariant machinery to attack classical computations that were long considered unapproachable.

Zoom link: https://uwaterloo.zoom.us/j/99159090516?pwd=Y1REWmRLd3B4cFhraE1kR0ZTU3JJZz09