Number Theory Seminar

Date: October 22, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Changningphaabi Namoijam, Texas A&M University

Title: Hyperderivatives of periods and quasi-periods of t-modules

Abstract: Brownawell and Denis constructed, as extensions of Drinfeld modules by additive groups, divided derivatives of a Drinfeld module whose periods can be expressed in terms of hyperderivatives of the periods and quasi-periods of the given Drinfeld module. In this talk, we discuss how to obtain hyperderivatives of periods and quasi-periods of an abelian Anderson t-module as periods and quasi-periods of the t-module given by the minimal quasi-periodic extension of Maurischat's prolongation t-module of the given t-module. We also determine how periods, quasi periods, logarithms and quasi-logarithms of an abelian Anderson t-module appear as evaluations of solutions of Frobenius difference equations. This is joint work with Matt Papanikolas.

URL: Link