Drinfeld modules and abelian t-modules are function field analogues of elliptic curves and abelian varieties over number fields. The periods of such a t-module are analogues of the periods of abelian varieties, and one is interested in questions about their transcendence and about algebraic relations among them. After giving a brief introduction to t-modules and their associated t-motives, we will explain how one obtains the periods of a t-module from the rigid analytic trivialisation of the t-motive. In the special case of the n-th tensor power of the Carlitz module (n prime to the characteristic), we will show that the coordinates of a fundamental period are algebraically independent.
Freitag, den 29. Juni 2018 um 13:30 Uhr, in INF205, SR A Freitag, den 29. Juni 2018 at 13:30, in INF205, SR A
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Gebhard Böckle