Algebraic Geometry Seminar
Dan Edidin
University of Missouri
Inertial products, Chern classes and exotic operations in K-theory
Abstract: Given a group acting properly on a smooth variety $X$, we show how to define a family inertial products, Chern classes and operations (Adams, $\lambda$, $\psi$) on the rational $K$-theory of the associated inertia stack $I {\mathcal X}$. We give a conjectural relationship between certain of these inertial operations
and operations on the classical $K$-theory of a resolution of singularities of moduli space of
the cotangent bundle stack $T^*{\mathcal X}$. Finally we give some toric examples where the relationship holds.
This is joint work with Tyler Jarvis and Takashi Kimura.
Wednesday November 7, 2012 at 4:00 PM in SEO 427