Seminars

Local compactified Jacobians, orbital integrals and uniform bounds

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Seminars

Cheng-Chiang Tsai

2016-12-30
13:30:00 - 14:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)



Orbital integrals integrate test functions over conjugacy orbits of p-adic reductive groups. They appear in the Arthur-Selberg trace formula, which is fundamental to the study of automorphic representations. In this talk, we explain some modern aspects of orbital integrals by demonstrating the $GL_n$ case for which we deal with lattice countings and local compactified Jacobians. After that we discuss their asymptotic properties and present a result about uniform bounds on orbital integrals as an application.