Periodic Reporting for period 2 - LEGS (p-adic Langlands and the Emerton-Gee stack)
Berichtszeitraum: 2022-04-01 bis 2023-09-30
The PI's book with Matthew Emerton on the Emerton-Gee stacks (on which the project is based) has been completely revised for publication.
The PI has with Matthew Emerton and Eugen Hellmann formulated categorical versions of the p-adic local Langlands correspondence, which will be described in lecture notes for a 2022 IHES summer school.
The PI has with Andrea Dotto and Matthew Emerton proved a categorical p-adic local Langlands correspondence for GL_2(Q_p).