MIT Topology Seminar
Monday, September 13, 2004
Room 2-131, 4:30pm
Mark Behrens will speak on:
A modular description of the K(2)-local sphere
I will describe how to understand the second layer of the chromatic
filtration on the (3-primary) stable homotopy groups of spheres in terms of
elliptic curves and isogenies. Specifically, I will describe a spectrum Q
which is built out of spectra related to tmf using isogenies of elliptic
curves. I will then describe how the K(2)-local sphere may be built out of
Q and its Spanier-Whitehead dual, DQ.