Connections with regular singularities in higher dimension

Abstract: Following chapter 2 of Deligne, we will introduce aspects of regularity for connections on smooth varieties. This includes moderate growth conditions and, in the normal crossing divisor case, connections with regular singularities. Time-permitting, we will discuss the relations between the various characterizations of regular singularities.

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.