Computing the Weil Representation of Superelliptic Curves

Explore the intricacies of computing the Weil representation for superelliptic curves in this 57-minute conference talk from the AGNES 2023 event at Stony Brook University. Delve into the research presented by Irene Bouw from the University of Ulm, focusing on curves with potential good reduction to characteristic p greater than 0. Discover how the local Galois representation of a curve Y is determined by a Weil representation, and learn the methods for determining this representation from the stable reduction of Y. Gain insights into the explicit calculations for superelliptic curves, based on joint work with D.K. Do and Stefan Wewers. Enhance your understanding of algebraic geometry and number theory through this advanced mathematical exploration.