MAThS
Mathematical Analysis in Thessaloniki Seminar
Mathematical Analysis in Thessaloniki Seminar
Faculty Members
Postdocs
PhD Students
Papadimitriou Christos
Simichanidis Alexandros
24-09-2025: Andreu Ferré-Moragues (Universidad Complutense de Madrid)
Date: Wednesday 24-09-2025, 10:00am in room M2
Title: Ergodic Ramsey Theory and partition regularity of Pythagorean pairs
Abstract: In this talk we will explore how the analytical tools afforded by Ergodic Theory can be leveraged to tackle problems in Combinatorics; more particularly, Ramsey Theory. After a brief introduction to the main ideas of these topics, we will jump into the problem that will be our focus: partition regularity of Pythagorean pairs. We will understand how the problem was dealt with in previous works of Frantzikinakis, Klurman, and Moreira and discuss an extension to the Gaussian integers. This last bit is part of an ongoing joint project with Sebastián Donoso, Andreas Koutsogiannis and Wenbo Sun.