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홈 > 학술정보 >학술행사 > 세미나
한국고등과학원 세미나

Title
[GS-NT] The $p$-adic $L$-functions for higher weight modular forms in the supersingular case
Speaker
Rei Otsuki   (Keio University )
Date
2017-12-14 16:00:00
Host
KIAS
Place
1424
Abstract
Let $f(z)= ?sum a_n q^n$ be an eigen cusp form of weight $k ?geq 2$. In the case when $f(z)$ is supersingular at $p$, we have two $p$-adic $L$-functions attached to $f(z)$, but those are power series with unbounded coefficients. In the case when $a_p = 0, k ?geq 2$, Pollack constructed $p$-adic $L$-functions with bounded coefficients, and in the case when $k = 2$, Sprung constructed similar $p$-adic $L$-functions. In this talk, I will talk about generalization of Sprung’s method in the case when $k > 2$ and $p ?geq k-1$.
개인정보보호정책 l 이메일주소집단수집금지 l 뷰어다운로드
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