Floer Memorial Lecture: Quantum (Morava) K-theory

Floer Memorial Lecture 

Abstract: Quantum cohomology is a well-known enumerative invariant of symplectic manifolds.  For smooth projective varieties, quantum K-theory was defined around twenty years ago using the `virtual structure sheaf'. Recently we have constructed quantum K-theory, and quantum Morava K-theories, for general compact symplectic manifolds. We will describe something of this theory. This talk reports on joint work with Mohammed Abouzaid and Mark McLean.