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홈 > 학술정보 >학술행사 > 세미나
KAIST 수리과학과 세미나

Title
Kudla's Program and Mod p Kudla's Program
Speaker
조성문   (교토대학 )
Date
2017-10-23 17:00:00
Host
KAIST
Place
E6 Room 2411
Abstract
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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