PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mathieu Stienon, Ping Xu, Nigel Higson.

Title:CYCLES, COCYCLES, AND BICYCLES II
Seminar:GAP Seminar
Speaker:Paul Baum, Penn State University
Abstract:
K-homology is the dual theory to K-theory. In algebraic geometry, the K-homology of an algebraic variety X is the Grothendieck group of coherent algebraic sheaves on X. In topology, K-homology is the homology theory determined by the Bott spectrum. These talks will develop a definition of K-homology based K-cycles. The point will be made that all features of K-homology are then clearly evident. In particular, a slight modification of the basic definition yields bicycles (i.e. bivariant cycles) and thus produces bivariant K-theory.

Room Reservation Information

Room Number:MB106
Date:09 / 28 / 2010
Time:02:30pm - 03:30pm