A multi-Frey approach to Fermat equations of signature (11,11,n)

Abstract: I will report on joint work with Billerey, Dieulefait, Freitas, and Najman in which we develop some of the necessary ingredients to use Frey abelian varieties in the modular method, inspired by ideas from Darmon's program for resolving generalized Fermat equations. In particular, I will explain how this machinery can be applied to study the equation x^11 + y^11 = z^n for first case solutions by using information from multiple Frey varieties.

algebraic geometrynumber theory

Audience: researchers in the topic

SFU NT-AG seminar

Series comments: The Number Theory and Algebraic Geometry (NT-AG) seminar is a research seminar dedicated to topics related to number theory and algebraic geometry hosted by the NT-AG group (Nils Bruin, Imin Chen, Stephen Choi, Katrina Honigs, Nathan Ilten, Marni Mishna).

We acknowledge the support of PIMS, NSERC, and SFU.

For Fall 2025, the organizers are Katrina Honigs and Peter McDonald.

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