Thời gian: 15:00, thứ tư, 08/12/2021
Tóm tắt: In 2013, Chang introduced period of the third kind of a rank 2 Drinfeld module as the secondcoordinate of periods of a t-module which is formed by the extension of the Drinfeld moduleby the Carlitz module. In this report, we find the quasi-periods of the t-module explicitly asalgebraic combinations of the fundamental period of the Carlitz module, and periods, quasi-periods, logarithms and quasi-logarithms of the Drinfeld module. Then, using the Legendrerelation for Drinfeld modules and an algebraic independence result of Chang and Papanikolas,we prove the transcendence of quasi-periods of this t-module whenever it is nonzero.
