Organisers

Ilaria Colazzo, I.Colazzo (at) leeds.ac.uk
University of Leeds (UK)
Paul Truman, p.j.truman (at) keele.ac.uk
Keele University (UK)
Leandro Vendramin, Leandro.Vendramin (at) vub.be
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 Interplay Between Skew Braces and Hopf-Galois Theory

University of Leeds: 18th-19th February 2026

When: 18-19 February 2026

Where: University of Leeds

Participants

  • Georg Altmann (University of Leeds, UK)
  • Aatmun Baxi (Texas A&M University, USA)
  • Andrew Brooke-Taylor (University of Leeds, UK)
  • Vincent Caudrelier (University of Leeds, UK)
  • Ilaria Colazzo (University of Leeds, UK)
  • Joao Faria Martins (University of Leeds, UK)
  • Simon Lentner (University of Hamburg, Germany)
  • Paul Martin (University of Leeds, UK)
  • Hal Simpson (University of Leeds, UK)
  • Fiona Torzewska (University of Bristol, UK)
  • Paul Truman (University of Keele, UK)
  • Leandro Vendramin (Vrije Universiteit Brussel, Belgium)
  • Arne Van Antwerpen (Maynooth University, Ireland)
  • Magdalena Wiertel (Vrije Universiteit Brussel, Belgium)