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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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The compactly supported cohomology of buildings
by
Michael Davis
The Ohio State University
Coauthors: Jan Dymara, Tadeusz Januszkiewicz, Boris Okun

In 1976 Borel and Serre computed the compactly supported cohomology of any affine building (meaning that the associated Coxeter group is a Euclidean reflection group). In a 2006 paper the authors extended this calculation to a) the case of a "thin building" whose type is an arbitrary Coxeter group or b) an arbitrary building whose type is a right-angled Coxeter group. We now have the computation in complete generality.

Date received: February 20, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawk-54.