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)
Fiona Torzewska, F.Torzewska (at) outlook.com
University of Bristol (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

When: 30 – 31 July 2024

Where: University of Keele

30th July

  • TBA

31st July

  • TBA

Participants

  • Tomasz Brzeziński (University of Białystok, Poland & Swansea University, UK)
  • Nigel Byott University of Exeter (UK)
  • Ilaria Colazzo, Univeristy of Leeds (UK)
  • Andrew Darlington, University of Exeter (UK)
  • Isabel Martin-Lyons, Univeristy of Keele (UK)
  • Silvia Properzi, Vrije Universiteit Brussel (Belgium)
  • Agata Smoktunowicz, Univeristy of Edinburgh (UK)
  • Senne Trappeniers, Vrije Universiteit Brussel (Belgium)
  • Paul Truman, University of Keele (UK)
  • Fiona Torzewska, University of Bristol (UK)
  • Arne Van Antwerpen, University of Ghent (Belgium)
  • Leandro Vendramin, Vrije Universiteit Brussel (Belgium)

The Interplay Between Skew Braces and Hopf-Galois Theory

When: 16 – 17 April 2024

Where: University of Exeter

16th April

17th April

Participants

  • Nigel Byott University of Exeter (UK)
  • Alberto Corato, University of Exeter (UK)
  • Ilaria Colazzo, Univeristy of Exeter (UK)
  • Andrew Darlington, University of Exeter (UK)
  • Isabel Martin-Lyons, Univeristy of Keele (UK)
  • Silvia Properzi, Vrije Universiteit Brussel (Belgium)
  • Charlotte Roelants, Vrije Universiteit Brussel (Belgium)
  • Fiona Torzewska, University of Bristol (UK)
  • Senne Trappeniers, Vrije Universiteit Brussel (Belgium)
  • Paul Truman, University of Keele (UK)
  • Arne Van Antwerpen, University of Ghent (Belgium)
  • Leandro Vendramin, Vrije Universiteit Brussel (Belgium)