# 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
Affiliation:
Universität Kassel/MPIM
Date:
Wed, 01/09/2021 - 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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