Seminarium z Topologii Algebraicznej
12:00-14:00, sala 5050 (joint with Algebraic Geometry Seminar)
29.V.2014
Paul Baum
TWO APPLICATIONS OF K-HOMOLOGY
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.
Strona seminarium