The p-adic Langlands program for non-split groups (12frg159)

Organizers

Ana Caraiani (Imperial College London)

Matthew Emerton (University of Chicago)

(Imperial College London)

(Princeton University)

Vytautas Paskunas (Universitaet Duisburg-Essen)

Sug Woo Shin (Massachusetts Institute of Technology)

Description

The "The p-adic Langlands program for non-split groups" workshop will be hosted at The Banff International Research Station.


The Langlands program was originally formulated as a link between number theory and analysis, but over the last 40 years it has grown to link together much of pure mathematics, including geometry, topology, and (in the recent work of Witten and collaborators) S-duality in quantum field theory. Three Fields medals (the mathematical equivalent of the Nobel prize) have been awarded in the last twenty years for work on the Langlands program, and its importance as a central part of pure mathematics is hard to overstate. Several of the biggest recent advances in the field have been due to developments in the p-adic Langlands program, an exciting new generalisation of the Langlands program. The p-adic Langlands program is still at a nascent stage, and the focussed research group proposes to make significant progress in developing new instances of it.




The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologí255a (CONACYT).