# Seminar

# Kudla's program and mod p Kudla's program

작성자Author

관리자

작성일Date

2017-11-09 14:39

조회Views

411

분야Field | 수학과 전임교원 임용후보자공개 세미나 | ||
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날짜Date | 2017-11-09 | 시간Time | 5:00 ~ 6:30 |

장소Place | Math. Bldg. 404 | 초청자Host | 수학과 |

연사Speaker | 조성문 | 소속Affiliation | Kyoto Univ./JSPS Postdoctoral Fellow |

TOPIC | Kudla's program and mod p Kudla's program | ||

소개 및 안내사항Content | Title : Kudla's program and mod p Kudla's programAbstract : In 1997, S. Kudla announced a paper to propose a program to match certain arithmetic intersection numbers on Shimura varieties with the sum of (the derivative of) the Fourier coefficients of certain modular forms. This, called Kudla's program, is nowadays considered as one of the central areas in number theory. In this talk, I will introduce the motivation of Kudla's program, starting from Hurwitz (1885) and Gross-Keating's work (1993). I will then explain that both sides have the same inherent structures beyond matching values, and propose the mod p version of Kudla's program at the special fiber. This talk is based on a joint work with T. Yamauchi. |

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