The role of hyperelliptic curves in the modular method

Abstract: In this talk we will briefly review the modular method, the strategy used by Wiles to prove Fermat’s Last Theorem. We will then explain how hyperelliptic curves have emerged as an important tool in recent years to approach generalized Fermat equations, and summarize the current state of the art results.

commutative algebraalgebraic geometrygroup theorynumber theoryrings and algebrasrepresentation theory

Audience: researchers in the topic

Calgary Algebra and Number Theory Seminar

Series comments: This seminar series is partially supported by the Pacific Institute for the Mathematical Sciences (PIMS).