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NCTS Seminar on Number Theory
 
13:30 - 14:30, May 12, 2021 (Wednesday)
broadcast in Lecture Room B, 4th Floor, The 3rd General Building, NTHU, Online seminar
(線上演講 於清大綜合三館Lecture Room B直播/收播)
On Congruence of Galois Representations Attached to A-motives
Yoshiaki Okumura (Toyo University)

Abstract:

The notion of $A$-motives  is a higher-dimensional generalization of Drinfeld modules and $\mathfrak{p}$-adic  representations attached to them are one of the most important objects in function field arithmetic.
In this talk, we give a criterion  for two congruent $\mathfrak{p}$-adic representations  arising from $A$-motives defined over a global function field to be isomorphic up to semi-simplification when they are restricted to a decomposition group, in terms of Hodge-Pink theory.
This is a function field analogue of the criterion for $\ell$-adic representations given by Ozeki and  Taguchi.
 


 

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