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BIMSA AG Seminar
Mahler measure, integral and Beilinson's conjecture of curves over number fields
Mahler measure, integral and Beilinson's conjecture of curves over number fields
演讲者
Guoping Tang
时间
2023年11月09日 15:30 至 17:00
地点
YMSC-Jingzhai-304
线上
Zoom 638 227 8222
(BIMSA)
摘要
We will talk about several Mahler measure identities involving families of two-variable polynomials defining curves of arbitrary genus, by means of their integral . As an application, we can obtain some relations between the Mahler measure of non-tempered polynomials defining elliptic curves of conductor 14, 15, 24, 48, 54 and corresponding L-values. We construct independent (integral) elements in the kernel of the tame symbol on several families of curves with genus . Furthermore, we prove that there exist non-torsion divisors with in the divisorial support of these elements when , which is potentially different from previous constructions in literature.