Equivariant K-theory and orbifold power operations

GAP Seminar

Meeting Details

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

Speaker: Takashi Kimura, Boston University

Abstract: Associated to a smooth projective variety X with a proper action of a complex algebraic group G, conditions that insure that the quotient [X/G] is a complex orbifold, is its orbifold K-theory ring, a K-theoretic version of Chen-Ruan orbifold cohomology. Orbifold K-theory contains, as a subring, the ordinary equivariant K-theory of X, and is additively equal to the equivariant K-theory of the inertia manifold of X. In recent work with Edidin and Jarvis, we show that under certain conditions orbifold K-theory (and its cousins) admit power (or Adams) operations which yields an exotic positive structure (that is, elements which are analogs of classes of vector bundles) on orbifold K-theory.

Room Reservation Information

Room Number: 106 McAllister

Date: 03/13/2012

Time: 2:30pm - 3:30pm