Joint IAS/PU Algebraic Geometry

Drinfeld's lemma for schemes

Kiran Kedlaya
University of California, San Diego; Visiting Professor, School of Mathematics
February 4, 2019
In the course of constructing the Langlands correspondence for GL(2) over a function field, Drinfeld discovered a surprising fact about the interaction between ├ętale fundamental groups and products of schemes in characteristic p. We state this result, describe a new approach to it involving a generalization to perfectoid spaces, and mention an application in p-adic Hodge theory (from joint work with Carter and Zabradi).