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Taipei Postdoc Seminar
 
11:00 - 12:30, May 27, 2020 (Wednesday)
R202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
The Mordell-Weil Theorem for t-modules
Yen-Liang Kuan (NCTS)

Abstract:

For each positive characteristic multiple zeta value (defined by Thakur) , Chang-Papanikolas-Yu constructed the -module defined over and integral points , . They proved that is Eulerian (resp. zeta-like) if and only if is an -torsion point in (resp. , are -linearly dependent in ).
 
In this talk, we are interested in the structure theory of the -module . Poonen proved an analogue for Drinfeld modules of the Mordell-Weil theorem. We shall generalize his results to the case of specific families of -modules. In particular, we prove that the -module is the direct sum of its torsion submodule, which is finite, with a free -module of rank .
 
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 (C) 2019 National Center for Theoretical Sciences