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Point counting without points (again)

Speaker: Antoine Leudière

Date: Wed, Nov 26, 2025

Location: PIMS, University of Lethbridge

Conference: Lethbridge Number Theory and Combinatorics Seminar

Subject: Mathematics, Combinatorics, Number Theory

Class: Scientific

Abstract:

Drinfeld modules are the analogues of elliptic curves in positive characteristic. They are essential objects in number theory for studying function fields. They do not have points, in the traditional sense—we're going to count them anyway! The first methods achieving this were inspired by classical elliptic curve results; we will instead explore an algorithm based on so-called Anderson motives that achieves greater generality. Joint work with Xavier Caruso.

Additional Files:
PDF icon beamer-antoine-v2.pdf