Global Langlands correspondence

December 5 to December 9, 2016

at the

American Institute of Mathematics, San Jose, California

organized by

Dennis Gaitsgory, Sophie Morel, and Xinwen Zhu

Original Announcement

This workshop This workshop, sponsored by AIM and the NSF will be devoted to the study of V. Lafforgue's groundbreaking work on the automorphic implies Galois direction of the Langlands conjecture for reductive groups over global function fields.

The primary goals will be:

  1. To give a detailed exposition of the proof of V. Lafforgue's theorem.

  2. Present related developments such as the Yun-Zhang proof of the Gross-Zagier type formula for function fields, the Genestier-Lafforgue construction for the local Langlands correspondence, and the connections with Fargues-Fontaine curve.

  3. Discuss potential further developments that the ideas from V. Lafforgue's work lead us to.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.