Abstract:
The theory of Drinfeld modules was introduced by Drinfeld in 1976. Due to the similarity of the analytic uniformization, Drinfeld modules of rank r>=2 can be regarded as an analogue of complex elliptic curves in the global function field setting. Later, Anderson introduced t-modules as a higher dimensional generalization of Drinfeld modules. Furthermore, his theory of dual t-motives established a connection between periods of uniformizable t-finite t-modules and rigid analytic trivializations of the associated dual t-motives. In particular, constructing rigid analytic trivializations without using periods will produce a non-trivial formula for the corresponding periods. In this talk, we aim to investigate the construction of rigid analytic trivialization for extensions of dual t-motives from Drinfeld modules and the tensor powers of the Cartliz module. This is joint work with Changningphaabi Namoijam and Matt Papanikolas.
Google Meet Link: meet.google.com/txc-tmkc-tie
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