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Computing the Weil Representation of a Superelliptic Curve

Degeneracy of Algebraic Points April 24, 2023 - April 28, 2023

April 25, 2023 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Irene Bouw (Ulm University)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Computing The Weil Representation Of A Superelliptic Curve

Abstract

Let Y be a curve with potential good reduction to characteristic p>0. The local Galois representation of Y is determined by a Weil representation. We show how to determine this Weil representation from the stable reduction of Y. In the case of superelliptic curves, we make this explicit. This is joint work with D.K. Do and Stefan Wewers.

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Computing The Weil Representation Of A Superelliptic Curve

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