Hopf algebras and Galois module theory

30th May - 3rd June 2022, University of Nebraska at Omaha / Online

Schedule and Abstracts

Slides for the talks given are available via the links below.
The complete schedule, along with the list of abstracts, is here.

  • Monday 30th May
    • Cindy Tsang: Characterization of the type of Hopf-Galois structures on cyclic extensions. Slides / Video
    • Tim Kohl: Normalizing Graphs of Regular Permutation Groups. Slides / Video
    • Ilaria Del Corso: On Fuchs’ problem on the group of units of a ring: the state of the art and some progress using braces. Slides / Video
    • Rob Underwood: Galois Extensions, Forms, and Hopf-Galois Theory. Slides
  • Tuesday 31st May
    • Lorenzo Stefanello: Some new examples of Hopf–Galois structures in which the Hopf–Galois correspondence is surjective. Slides / Video
    • Senne Trappeniers: Bi-skew braces and brace blocks. Slides / Video
    • Andrea Caranti: Skew braces that do not come from Rota–Baxter operators. Slides / Video
    • Alan Koch: Commutator-central maps, brace blocks, and Hopf-Galois extensions. Slides / Video
  • Wednesday 1st June
    • Kevin Keating: A converse to the Hasse-Arf theorem. Slides / Video
    • Paul Schwartz: Galois scaffolds and Galois module structure for totally ramified extra-special p-extensions. Slides / Video
    • Daniel Gil-Muñoz: Hopf-Galois module structure of degree p extensions of p-adic fields. Slides / Video
    • Lindsay N. Childs: A skew left brace yields a solution of the Yang-Baxter equation. Slides / Video
  • Thursday 2nd June
    • Andrea Caranti and Cindy Tsang: Finite p-groups of class two with a very large multiple holomorph. Slides / Video
    • Nigel Byott: Insoluble subgroups of the holomorph of a finite soluble group. Slides / Video
    • Andrew Darlington: Hopf-Galois Structures on separable field extensions of degree pq. Slides / Video
    • Elena Campedel: Hopf Galois structures on Galois extensions of order p2q and skew braces of size p2q. Slides / Video
  • Friday 3rd June
    • Isabel Martin-Lyons and Paul Truman: Introducing weak skew braces. Slides / Video
    • Ilaria Colazzo: YB-semitrusses and left non-degenerate solutions to the Yang-Baxter equation. Slides / Video
    • George Prestidge: Hopf-Galois module structure of tame radical extensions of squarefree degree. Slides / Video

Photo and Poster

The conference poster is here. This year's poster was created by Erin Carmody (PhD 2015, Set Theory)
The conference photo is here.

This page was last updated on the 7th of June 2022.