Mohammed Abouzaid - Arnol'd Conjecture and Morava K-theory

Mohammed Abouzaid (Columbia University); April 15, 2021

The Arnol'd conjecture on the minimal number of fixed points of a Hamiltonian diffeomorphism has motivated a large number of developments in symplectic topology over the last few decades. I will explain a proof, joint with Blumberg, that the number of such fixed points is larger than the rank of the homology with coefficients in any field. The proof will involve developing tools and methods of Floer homotopy theory.