Abstract

Let E be a Drinfeld module of rank r>=2. In this talk, we aim to present some results about the structure of the group of extensions of E by the tensor powers of the Carlitz module. Here, we consider extensions of their associated dual t-motives in the category of Frobenius modules. As an application of our results, we will present an effective construction for the rigid analytic trivialization for extensions of E by the tensor powers of the Carlitz module. This is joint work with Changningphaabi Namoijam and Matt Papanikolas.

 

Organizer: Chieh-Yu Chang (NTHU)