Integral models of modular curves

Abstract: Smooth models of $X_0(N), X_1(N)$ over $\mathbb{Z}[1/N]$ and models over $\mathbb{Z}$ à la Deligne-Rapoport and Katz-Mazur, consequences for the structure of the Néron model of $J_0(p)$

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.

Fall 2025 topic: Weil conjectures.

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.