back to N-Cube Days XXII

Christian Johansson (Chalmers University of Technology and the University of Gothenburg)

Title: Spectral decomposition, localization and categorical p-adic local Langlands

Abstract: We will try to give an introduction to the ideas of geometrization or categorification of classical and p-adic Langlands correspondences, as recently pioneered by Fargues--Scholze, Zhu, Emerton--Gee--Hellmann and others. We will then discuss joint work with Newton and Wang-Erickson where we give a formulation of the p-adic local Langlands correspondence for GL(2,Qp) as an embedding of categories.