Number Theory Seminar

Date: November 3, 2021

Time: 11:00AM - 12:00PM

Location: BLOC 302

Speaker: Matt Papanikolas, Texas A&M University

Title: Product formulas for periods of Drinfeld modules

Abstract: We investigate new formulas for periods and quasi-periods of Drinfeld modules, similar to the product formula for the fundamental period of the Carlitz module. To these ends we develop tools for constructing rigid analytic trivializations for Drinfeld modules as infinite products of Frobenius twists of matrices, from which we recover the rigid analytic trivialization given by Pellarin in terms of Anderson generating functions. One particular advantage is that these infinite products can be obtained from only a finite amount of initial calculation. Joint with C. Khaochim.