Motivic Integration, Orbital Integrals, and Zeta-Functions (14w5155)


(University of British Columbia)

(University of British Columbia)

(Institut Mathematique de Juisseu)


The Banff International Research Station will host the "Motivic Integration, Orbital Integrals, and Zeta-Functions (HALF)" workshop from November 30th to December 5th, 2014.

This workshop will explore the connections between two
areas of mathematics which until 10 years ago appeared completely unrelated.
The first area is model theory -- a modern branch of mathematical logic, which
lead to the transfer principle by Ax and Kochen in the 70s.
The second area is harmonic analysis on $p$-adic groups, a field that plays a major role
in number theory, for example, in the proof of Fermat's last theorem. In
recent years it has turned out that some methods of model theory, by expanding our notions
of integration, apply to the problems in harmonic analysis on $p$-adic groups.

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).