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Explicit description of isogeny and isomorphism classes of Drinfeld modules of higher ranks over finite fields

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Speaker: 
Sedric Nkotto Nkung Assong
Zugehörigkeit: 
Universität Kassel/MPIM
Datum: 
Mit, 2021-09-01 14:30 - 15:30
Parent event: 
Number theory lunch seminar

Jiu-Kang Yu (1995) classified the isogeny classes of Drinfeld modules over finite fields in terms of Weil numbers and precisely described the isomorphism classes in an isogeny class of rank 2 $\mathbb{F}_q[T]$-modules. We further the studyby explicitly exhibiting/computing the Weil polynomials and precisely describing the isomorphism classes in an isogeny class for higher ranks $(\geq 3)$ Drinfeld modules. We also provide some results on the orders (of the endomorphism algebra corresponding to an isogeny class) occurring as endomorphism ring of a Drinfeld module.

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