Arnol'd Conjecture and Morava K-theory

Abstract: 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.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar