Date | 2017-07-06 |
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Speaker | 이규환 |

Dept. | University of Connecticut |

Room | 27-325 |

Time | 16:00-17:00 |

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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