$x^2+y^3=z^7$

Arav Karighattam (MIT)

Thu Mar 19, 21:00-22:30 (4 weeks from now)
Lecture held in Room 2-139 in the MIT Simons Building.

Abstract: Reference: Poonen-SchaeferĀ­-Stoll, Twists of $X(7)$ and primitive solutions to $x^2+y^3=z^7$; Darmon, Faltings plus epsilon, Wiles plus epsilon, and the Generalized Fermat Equation.

algebraic geometrynumber theory

Audience: advanced learners


STAGE

Series comments: STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Spring 2026 topic: The descent obstruction.

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.

Organizers: Xinyu Fang*, Mohit Hulse*, Arav Karighattam*, Bjorn Poonen*
*contact for this listing

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