Algebraic Geometry Seminar
Manish Patnaik
Harvard University
Central Extensions of Loop Groups and local Riemann-Roch formulas
Abstract: The local Riemann-Roch problem on certain simple surfaces may be reformulated in terms
of the problem of comparing various central extensions of loop groups. Using an adelic version
of this construction (over function fields of positive characteristic), we can interpret the
points of certain arithmetic quotients of loop groups as bundles on a surface together with some
information about the second Chern class of the bundle. We will sketch the connection with
Eisenstein series on loop groups. This is joint work with Howard Garland.
Thursday March 4, 2010 at 4:00 PM in SEO 636