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New developments in the theory of modular forms over function fields

On algebraic independence of period coordinates of tensor powers of Drinfeld modules

speaker: Andreas Maurischat (RWTH Aachen University)

abstract: We will explain a construction to obtain the period coordinates of uniformizable abelian \( t \)-modules as the special values at \( t=\theta \) of a rigid analytic trivialization of a related dual \(t\)-motive. This allows to use the ABP-criterion for showing transcendence results for period coordinates via proving corresponding results for the entries of the rigid analytic trivialization. In the talk, we will also give such results for certain tensor products of Drinfeld modules e.g. for the \(n\)-th tensor power of the Carlitz module.

timetable:
Wed 7 Nov, 10:30 - 11:00, Aula Dini
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