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Topology/Geometry Seminar
Thursday, December 11, 2008
4:00 pm,
210 LRC
Scott Bailey
University of Rochester
The connective real K-theory of tmf.
Abstract: An important calculation is to determine the stable operations associated with the relatively new cohomology theory of connective topological modular forms (or $tmf$ for short). A possible starting point includes understanding the spectrum $tmf \wedge tmf$ which has proven to be a formidable problem. Mahowald (1981) showed that $bo \wedge bo$ splits as a $bo$-module spectrum into summands involving integral Brown-Gitler spectra. In this talk, I will discuss a similar splitting of $bo \wedge tmf$ and address why such a splitting may serve as a nice warm-up example to understanding $tmf \wedge tmf$. As an application, I will give an explicit description of the $bo_*$ module structure of $bo_* (tmf)$.
We meet weekly on Thursday afternoons, alternating between Penn State Altoona and Penn State University Park. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Fall 2008 semester: Wojtek Dorabiala and Aissa Wade.
