Lie structures in derived categories

Abstract: For a closed embedding $X\hookrightarrow S$ of smooth schemes with a first order splitting, the derived self-intersection $X\times^R_SX$ and the shifted normal bundle $N_{X/S}[-1]$ carry Lie structures. In this talk, we discuss an analogue of the exponential map from a Lie algebra to the corresponding Lie group in this setting and its application in the study of orbifold Hochschild cohomology product.

algebraic geometrynumber theory

Audience: researchers in the topic

Leiden Algebra, Geometry, and Number Theory Seminar