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홈 > 학술정보 >학술행사 > 세미나
2017 서울대학교 수리과학부 세미나

Title
Generalized Sato-Tate conjecture and weight multiplicities of symplectic Lie algebras
Speaker
이규환   (University of Connecticut )
Date
2017-07-06 16:00:00
Host
SNU
Place
27-325
Abstract
The generalized Sato-Tate conjecture expects that statistics of the numbers of rational points on hyper-elliptic curves are given by random matrix statistics.
In this paper, we conjecture that these statistics are also given by weight multiplicities of the irreducible representations of symplectic Lie algebras, and prove the conjecture for the moments of the trace of random matrices.
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