Speaker
Andrea Maffei
(Università di Pisa)
Description
For a smooth affine algebraic group $G$ over an algebraically closed field, we consider some two-variables generalizations of the affine Grassmannian $G((t))/G[[t]]$, given by quotients of the double loop group $G((x))((y))$. We prove that they are representable by ind-schemes if $G$ is solvable. Given a smooth surface $X$ and a flag of subschemes of $X$, we provide a geometric interpretation of the two-variables Grassmannians, in terms of bundles and trivialisation data defined on appropriate loci in $X$, which depend on the flag. This is a joint work with Valerio Melani and Gabriele Vezzosi.
