Semon Rezchikov: Concrete consequences of the cyclotomic structure in symplectic cohomology

Speaker
Semon Rezchikov, Princeton University

Abstract
I will discuss various ideas and results related to the cyclotomic structure on symplectic cohomology. In part, I will explain three versions of a result of Cartier, in the worlds of symplectic, noncommutative, and arithmetic geometry, as well as an application of these ideas to the quintic threefold. If time permits, I will explain how the story should extend to the p-adic situation and to some other coefficient rings.