MIT Topology Seminar: Cohomology Theories Associated to Shimura Varieties (Mark Behrens)

MIT Topology Seminar

Monday, September 12, 2005
Room 2-142, 4:30pm

Mark Behrens will speak on:

Cohomology Theories Associated to Shimura Varieties

Abstract: I will discuss some joint work (in progress) with Tyler Lawson. I will briefly motivate the talk by describing how to use modular forms and the building for GL_2 to capture a piece of the second chromatic layer of the homotopy groups of spheres. I will then describe how a similar construction (using the building for GL_n) may be considered in connection with chromatic level n - where elliptic curves are replaced with certain abelian varieties with complex multiplication.