Date | Jun 21, 2016 |
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Speaker | 조성문 |

Dept. | University of Toronto |

Room | 27-325 |

Time | 16:00-17:00 |

The Gross-Keating invariant of a half-integral symmetric matrix B over the ring of integers of a non-archimedean local field plays an important role to make a direct connection between arithmetic intersection numbers for some moduli stack and the Fourier coefficients of Siegel Eisenstein series of level one and weight 2 for {Sp_2g}, g<4. Recently Ikeda and Katsurada described the Fourier coefficients in terms of Gross-Keating invariants.

In this talk, I will explain an explicit inductive formula to compute the Gross-Keating invariant for any given such B. In conjunction with Ikeda-Katsurada's works, this would be used to prove an equality between some arithmetic intersection numbers and the Fourier coefficients of Siegel Eisenstein series of level one and weight 2 for {Sp_2g} for 'any' g. This is a joint work with Takuya Yamauchi.

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