[Binghamton Geometry/Topology Seminar] (no subject)

[Marco Varisco]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

Date: Thursday September 20, 2007

Time: 2:50 pm

Place: Library North 2205
  (followed by coffee/tea in the Anderson Reading Room)

Speaker: Paul Pearson (University of Rochester)

Title: Homology of topological modular forms

Abstract: The mod 2 homology of the spaces in the connective
Omega-spectrum of topological modular forms (tmf) is a Hopf ring.
Every mod 2 Hopf ring is equivalent to a Dieudonne' ring. We calculate
the Dieudonne' ring for the nonnegatively graded spaces in the
spectrum tmf, and show that it splits into two parts that occasionally
overlap. One part comes from the homology of the spectrum tmf, and the
other part comes from the homology of QS^k, the kth spaces in the
Omega-spectrum of the sphere.