Gurbir Dhillon, UCLA

Title: On local geometric Langlands in depth zero

Abstract: A fundamental theorem of Bezrukavnikov establishes local geometric Langlands with tame ramification and unipotent monodromy. We will review this result for non-specialists, and then discuss some joint works with Li--Yun--Zhu and  Taylor, which extend this to the full equivalence in depth zero for restricted variation and Betti families, as conjectured by Bezrukavnikov and Ben-Zvi--Nadler, respectively.