Department of Mathematics

Advertisement
Advertisement
Events Calendar
Previous month Previous day Next day Next month
See by year See by month See by week See Today Search Jump to month
Colloquium - Richard Gonzales - Equivariant Operational Theories and the Localization Principle
Wednesday, 11. March 2020, 13:30 - 14:30

Richard Gonzales's Talk: Equivariant Operational Theories and the Localization Principle

 

Abstract: For a complete nonsingular variety with a torus action, the localization principle asserts that one can read-off the equivariant K-theory and Chow cohomology of the variety from that of fixed point subscheme, modulo certain relations given by the fixed loci of codimension-one subtori. For singular varieties, however, such method quite often does not apply. Our goal is to show that in the setting of equivariant operational theories there is a version of the localization principle that works perfectly well for both singular and nonsingular varieties. For instance, if X is any complete variety where a torus acts with finitely many fixed points and invariant curves, then the equivariant operational K-theory of X is a ring of piecewise exponential functions (a version of GKM theory). Some relations to Chow cohomology, via the Riemann-Roch theorem, will be discussed too. 

 

 

Date: Wednesday, March 11, 2020

Time: 13:30

Room: TB 130

Back