3 papers
math.RT2026
The Factorizable Feigin-Frenkel center
Luca Casarin, Andrea Maffei
We prove a factorizable version of the Feigin-Frenkel theorem on the center of the completed enveloping algebra of the affine Kac-Moody algebra attached to a simple Lie algebra at…
math.AG2025
Topological sheaves and spaces of distributions in the global case
Luca Casarin, Andrea Maffei
We extend the theory of fields/distributions developed the paper "A Feigin-Frenkel theorem with n singularities" to a general base scheme. In order to do so we introduce suitable n…
math.AG2025
Two dimensional versions of the affine Grassmannian and their geometric description
Andrea Maffei, Valerio Melani, Gabriele Vezzosi
For a smooth affine algebraic group over an algebraically closed field, we consider several two-variables generalizations of the affine Grassmannian , gi…