Bernoulli Lecture by Bao Châu Ngô - Singularities in formal arc spaces and harmonic analysis over nonarchimedean fields   21 January 2016

Harmonic analysis on Lie groups and Lie algebras over nonarchimedean fields is abundant of functions and distributions with intricate combinatorial behavior. I will present some calculations in which harmonic analytic quantities are related to singularities in certain formal arc spaces. These calculations are concerned with the local factor of L-functions and orbital integrals.
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