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University Park
Altoona

Thursday, March 20, 2008
5:10 pm, 260 Hawthorn

Paul Pearson
University of Rochester

The 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 space in the Omega-spectrum of the sphere.

We meet weekly on Thursday afternoons, with the third meeting of each month in Altoona. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Fall 2007 semester: Young Choi and Aissa Wade.

 

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