Andrew Wiles Building
University of Oxford
Organizers: Geordie Williamson (Sydney), Ivan Losev (Northeastern), Matthew Emerton (Chicago)
Modular representation theory is the study of representations of groups and related algebras over fields of positive characteristic. It was initially developed by Brauer, with a view towards the structure of finite groups. Over the last decades it has grown into a deep and beautiful subject with connections to number theory, the Langlands program and algebraic geometry.
The goal of this workshop is to explore the breadth of modern modular reprensentation theory. There will be talks from relevant areas including: mod p Langlands correspondence, deformations of Galois representations, modular representations of algebraic groups, Lie algebras and p-adic groups, modular Deligne-Lusztig theory, and local-global conjectures in finite groups.
Invited speakers: Noriyuki Abe (Tokyo), Pramod Achar (LSU), Roman Bezrukavnikov (MIT), Cédric Bonnafé (Montpellier), Ana Caraiani (Imperial), Joe Chuang (CUL), Olivier Dudas (Paris 7), Jens Eberhardt (UCLA), Amit Hazi (Leeds), Bao Le Hung (Northwestern), Brandon Levin (Arizona), Carl Mautner (UC Riverside), Gil Moss (Utah), Gabriel Navarro (Valencia), Simon Riche (Clermont Auvergne), Raphael Rouquier (UCLA), Peng Shan (Tsinghua), Britta Späth (Wuppertal), Jack Thorne (Cambridge)
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, email Naomi Kraker. Students please also provide a letter of reference from your supervisor.