Tamely Ramified Geometric Langlands

Recently, a team of nine mathematicians (Arinkin, Beraldo, Campbell, Chen, Faergeman, Gaitsgory, Lin, Raskin, and Rozenblyum) proved the (unramified, de Rham, critical level) global geometric Langlands conjecture, which asserts the existence of a categorical equivalence (satisfying some compatibilities) between D-modules on Bun_G and Indcoherent sheaves with nilpotent singular support on LocSys_{G^\vee}. In this talk, I will discuss progress on my current project, which is to construct a tamely ramified version of the geometric Langlands correspondence.