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Topology/Geometry Seminar
Friday, August 28, 2009
4:00 pm,
133 Hawthorn
David Blanc
University of Haifa
Secondary derived functors and spectral sequences.
Abstract: For many of the spectral sequences commonly used in homotopy theory, one can
naturally identify the E2 term with suitable (graded) derived functors, such as (stable or unstable) Ext for the various Adams-type spectral sequences, Tor for the Eilenberg- Moore spectral sequence, and so on. It turns out that in most such settings one can also identify the higher terms in the spectral sequence as ”higher derived functors” in an appropriate sense. Naturally, such derived functors depend on more (homotopy invariant!) information than that which is available in the homotopy category itself. To explain what is needed, we define the concept of a k-stem, in a general model category, and show how it can be used to define higher derived functors, and how they appear in (many) spectral sequences.
Joint work with Hans-Joachim Baues
We meet weekly on Friday afternoons at Penn State Altoona (and sometimes at Penn State University Park). If you are interested in giving a talk in our seminar please contact one of the coordinators for the Spring 2009 semester: Wojtek Dorabiala and Aissa Wade.
