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Number Theory Seminar

Thursday, January 30, 2020
4:00pm to 5:00pm
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Linde Hall 387
Bounds of orbital integrals
Cheng-Chiang Tsai, Department of Mathematics, Stanford University,

Orbital integrals are a kind of p-adic integrals with a simple definition: integrating over some conjugacy orbit. It is similar to evaluating characters at conjugacy classes as in basic representation theory of finite groups, and is thus a fundamental object in the representation theory of p-adic groups. It becomes important to number theory due to its substantial use in trace formula for the study of automorphic representations and Langlands program. In this talk, we discuss how ideas in (geometric) representation theory lead to heuristics and results regarding upper bounds of orbital integrals.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].