Number Theory Seminar

Date: November 10, 2021

Time: 11:00AM - 12:00PM

Location: BLOC 302

Speaker: Yen-Tsung Chen, National Tsing Hua University

Title: Linear equations on Drinfeld modules

Abstract: Let K be a number field and E be an elliptic curve defined over K. Given finitely many K-rational points P_1,..., P_n, how can we decide if they are linearly dependent in the sense that there exist integers a_1,...,a_n, not all zero, such that a_1P_1+...+a_nP_n=0 on E(K)? In 1988, Masser gave an answer to this question using techniques from the geometry of numbers. Let L be a global function field. In this talk, we would like to present an analogue of Masser's result for L-rational points on a given Drinfeld module defined over L.