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TWO APPLICATIONS OF K-HOMOLOGY
- Speaker(s)
- Paul Baum
- Affiliation
- Penn State University
- Date
- May 29, 2014, noon
- Room
- room 5050
- Seminar
- Seminar Algebraic Topology
(Joint with Algebraic Geometry Seminar)
K-homology is the dual theory to K-theory. In algebraic geometry, if X is a projective algebraic variety, the K-homology of X is the Grothendieck group of coherent algebraic sheaves on X. In topology, K-homology is the homology theory given by the 2-periodic spectrum which is alternately ZxBU and U. This talk will describe two applications of K-homology: #1. Riemann-Roch for singular projective algebraic varieties, #2. index formula for a class of non-elliptic differential operators. The above is joint work with W. Fulton, R. MacPherson, E. van Erp.
