Ilaria Colazzo, I.Colazzo (at)
University of Exeter (UK)
Paul Truman, p.j.truman (at)
Keele University (UK)
Leandro Vendramin, Leandro.Vendramin (at)
Vrije Universiteit Brussel (Belgium)

In 2016 a connection emerged between two apparently disparate topics: Hopf–Galois theory (whose applications include generalizations of the classical Galois correspondence and questions concerning the structure of rings of algebraic integers) and the theory of skew braces (intensively studied due to their connection with solutions of the Yang-Baxter equation, which appears in statistical mechanics, knot theory, …). This connection has already proven to be very fruitful, with numerous results concerning the existence, classification, and properties of objects being translated between topics, or developed in tandem.

The main aim of these meetings is to explore this interplay between skew braces and Hopf–Galois structures. Each side has its own concrete problems, with possible applications to understanding the mathematical structures belonging to the other side.

The structure of skew braces

When: 30 – 31 October 2023

Where: University of Exeter

Program: TBA

Hopf–Galois structures

When: 21 – 22 March 2024

Where: Keele University

Program: TBA

Organisers: Ilaria Colazzo, Paul Truman, Leandro Vendramin