Arthur packets (23w5063)


(University of Calgary)

(Centre National de la Recherche Scientifique)

Bin Xu (Tsinghua University)

Andrew Fiori (University of Lethbridge)

Ahmed Moussaoui (Université de Poitiers)


The Institute for Advanced Study in Mathematics will host the "Arthur packets" workshop in Hangzhou, China from November 5 to November 10, 2023.

The Langlands Programme as we now know it was framed as a research agenda in the late 1960s. At the same time that the Nobel Prize was being awarded to Murray Gell-Mann "for his contributions and discoveries concerning the classification of elementary particles and their interactions," the Langlands Program predicted that the elementary particles of arithmetic -- L-functions -- should be classified by automorphic representations of algebraic groups. One of the pillars of the Langlands Programme is a conjecture, known as the local Langlands Correspondence, which is crucial to attaching complete L-functions to automorphic representations. The local Langlands Correspondence is now a theorem for automorphic representations of quasisplit classical groups by the work of James Arthur, relying on the work of many mathematicians. Arthur packets play a key role in this recent work. This conference gathers together experts on Arthur packets over global and local fields to cross-pollinate ideas and work on open problems.

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide 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 in Banff 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).