CYCLES, COCYCLES, AND BICYCLES II

GAP Seminar

Meeting Details

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

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: 106 McAllister

Date: 09/28/2010

Time: 2:30pm - 3:30pm