The Hopf algebra governing orbifold Hochschild cohomology

March 20, 2006    3:00-4:00
Speaker: Andrei Caldararu (University of Wisconsin)

Abstract:

When $X$ is a quasi-projective variety, Kapranov argued that the object $T_X[-1]$ in the derived category of $X$ is a Lie algebra object, whose universal enveloping algebra governs the behavior of the Hochschild cohomology ring of $X$. We discuss the construction of a similar Lie algebra object for global quotient orbifolds.