New Advances in the Langlands Program: Geometry and Arithmetic

Date: 30 September - 4 October 2024

Location: Mathematical Institute, University of Oxford

The last decade has seen significant progress in our understanding of the arithmetic of the Langlands program over number fields. Some of the inter-related themes to be explored in this workshop include: the proof of new cases of Langlands reciprocity, linking Galois representations and automorphic forms; breakthroughs in understanding the geometry of Shimura varieties (particularly their analytic geometry over p-adic fields); the growing role of moduli spaces of Galois representations.

Speakers: George Boxer (Imperial), Matthew Emerton (Chicago), Tony Feng (Berkeley), Jessica Fintzen (Bonn), Toby Gee (Imperial), Ian Gleason (MPIM), Teruhisa Koshikawa (Kyoto), Si Ying Lee (Stanford), Jeffrey Manning (Imperial), Alice Pozzi (Bristol), Juan Esteban Rodriguez Camargo (Columbia), Peter Scholze (Bonn), Chris Skinner (Princeton), Naomi Sweeting (Harvard), Jack Thorne (Cambridge), Pol van Hoften (VU Amsterdam), Andrew Wiles (Oxford), Sarah Zerbes (ETH), Mingjia Zhang (Princeton)

This workshop is also supported by the ERC Starting Grant “P-adic arithmetic geometry, torsion classes, and modularity” (grant agreement No. 804176).

Registration: Participation in the workshop is by invitation, but a limited number of additional places is available.  To register for the Clay Research Conference or to register interest in a workshop, please email Naomi Kraker, providing the name of your institution and stating which workshop you wish to attend. Students please also provide a letter of reference from your supervisor.  Registration is now closed.

HOTEL SCAM ALERT:  Some speakers may be contacted via email or telephone by Travellerpoint.org or similar.  Please be advised that we use no external organizing service.  All emails regarding the workshop will be sent by CMI or a workshop organizer.