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NCTS Seminar on Number Theory
 
13:30 - 14:30, October 28, 2020 (Wednesday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Periods and Logarithms of Anderson t-modules, and Hyperderivatives
Changningphaabi Namoijam (National Tsing Hua University)

Abstract:

We determine how to obtain periods, quasi-periods, logarithms and quasi-logarithms of uniformizable abelian Anderson t-modules as evaluations of rigid analytic trivializations of associated dual t-motives. Building on this and utilizing properties of hyperderivatives, we show that hyperderivatives of periods and logarithms of uniformizable abelian Anderson t-modules can be realized as evaluations of rigid analytic trivializations of Maurischat's prolongations of the associated dual t-motives. If time permits, we will further discuss these results using particular examples such as Drinfeld modules, n-th tensor power of Carlitz module, etc. This is joint work with Matt Papanikolas.


 

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