Number Theory Seminar

Date: October 23, 2019

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Changningphaabi Namoijam, Texas A&M University

Title: Hyperderivatives of Periods and Logarithms of A Drinfeld Module, and Their Algebraic Relations

Abstract: In 2012, Chang and Papanikolas showed algebraic independence of periods, quasi-periods, certain logarithms and quasi-logarithms of Drinfeld modules. Using Papanikolas’ results on transcendence degree of the period matrix of a t-motive and dimension of its Galois group, we determine algebraic relations among hyperderivatives of periods, quasiperiods, logarithms and quasi-logarithms of Drinfeld modules.