Joint Mathematics Colloquium
Where do you draw the (dividing) line?
Speaker: Julia Wolf (Universidad de Cambridge)Date: Friday, 06 February 2026 - 13:00Place: Aula Azul, ICMAT
Online: https://us02web.zoom.us/j/85390856396?pwd=9cQoVE3zvSWmLNiNWLJTYOdPmYkurM.1 (ID: 853 9085 6396; código acceso: 210800)
Abstract:
A longstanding classification programme in model theory aims to determine when a mathematical structure exhibits tame, structurally simple—as opposed to wild, intractable—behaviour. A key role is played by so-called dividing lines, i.e. properties of logical formulas (or theories) that separate these regimes.
In this talk, we will illustrate recent progress using examples of graphs and groups, and use the lens of combinatorics to gain new insight into higher-order dividing lines. We will also explain how this perspective has led to advances in higher-order Fourier analysis, exchangeability, and statistical learning.
The talk is intended to be accessible to beginning graduate students from all areas of mathematics.
