WSU Topology Seminar

Department of Mathematics
Topology Seminar 2006-2007

Wayne State University
College of Science

All talks are held Tuesdays at 2:00 PM in 1285 FAB, unless otherwise noted.
Contact Dan Isaksen (isaksen AT math.wayne.edu) for more information

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Mathematics Department home page

Date: November 27, 2007

Speaker: Dave Handel, Wayne State University

Title: Group cohomology products via explicit diagonal approximations

Abstract: Given a finite group G, a PID \Lambda, a free resolution C of \Lambda over \Lambda G, and \Lambda G-modules A and B, it is well-known how to construct the cup product pairing

H^* (G; A) \otimes H^* (G; B) \rightarrow H^*(G; A \otimes B)

using a diagonal approximation \Psi: C \rightarrow C \otimes C. Constructing \Psi, however, is rather complex, even for rather efficient resolutions. C.T.C. Wall, in 1961, constructed some efficient resolutions for split extensions of cyclics by cyclics. I will talk about my work on constructing diagonal approximations for the Wall resolutions, and the resulting cohomology product pairings.