演講公告

演講主題：Cuspidal divisor class groups of the modular curve
主講人：郭家瑋教授 (台灣大學數學系)
演講日期：2022年10月18日(二) 14:00 – 15:00
演講地點：(光復校區) 科學一館223室
摘要內容：
Abstract. Let $N=p^2M$ with $p$ a prime and $M$ a square free integer, $\mathscr C(N)$ be the subgroup of the Jacobian variety $J_0(N)$ generated by the equivalent classes of cuspidal divisors of degree $0$, and $\mathscr C_{\mathbb Q}(N)$ be the subgroup of $\mathscr C(N)(\mathbb Q)$ generated by $\mathbb Q$-rational cuspidal divisors. In this talk, we will show that the two groups $\mathscr C(N)(\mathbb Q)$ and $\mathscr C_{\mathbb Q}(N)$ are equal by appropriate constructions of modular units. This is a joint work with Yifan Yang, Hwajong Yoo, and Myungjun Yu.
相關檔案：Talk_1111018.pdf

$返回$ go back