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(Number theory seminar) Generalized Fermat Equations

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Speaker: 
Imin Chen
Zugehörigkeit: 
Simon Fraser University
Datum: 
Mit, 14/05/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

The proof of Fermat’s Last Theorem pioneered a new approach to resolving families of ternary Diophantine equations using modularity of residual Galois representations attached to Frey curves. In the case of differing exponents, Darmon gave a framework for resolving generalized Fermat equations in one varying exponent using Frey varieties. In this talk, I will survey the methods and techniques of recent progress on Darmon’s program as well as the challenges that remain in the study of generalized Fermat equations.

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