Geometry and Mathematical Physics Seminar

Speaker: Brian Williams, Boston University

Title: Higher Virasoro algebras

Abstract: I will introduce and classify central extensions of the dg Lie algebra of derived global sections of the tangent sheaf on the punctured d-disk for d > 1. Then, I will formulate and sketch the proof of a formal and universal version of the Grothendieck–Riemann–Roch theorem. Time permitting I will discuss how to generalize this work to complements of other algebraic subvarities of affine space. This is joint work with Zhengping Gui.