Microlocal Geometry of Langlands Parameter Spaces for p-adic Groups (18frg237)


(University of Calgary)

Andrew Fiori (University of Lethbridge)

Ahmed Moussaoui (Université Versailles Saint-Quentin)

Bin Xu (Tsinghua University)


Recent work by Arthur on the classification of automorphic representations has shed new light on the transfer of these representations between groups. Following a suggestion by Arthur, this Focused Research Group is developing a geometric characterization of this transfer for p-adic groups, based in part on ideas developed by Adams, Barbasch and Vogan in the early 1990s. This geometric version of transfer of Arthur packets is surprisingly amenable to calculation and promises to give new tools to understand the transfer coefficients that appear in Arthur's main local result in the endoscopic classification of representations.

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 U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).