Regular connections in dimension $n$

Abstract: Following Deligne chapter $2$, we discuss the relationship between several characterizations of regular connections in higher dimensions. In particular, we show that the regularity is "local in codimension $1$ at $\infty$". Time permitting, we will prove the Riemann-Hilbert correspondence for regular connections.

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.