Algebra Seminar: J-reflection groups and associated braid groups
- Date: 26 November 2024, 15:15–17:00
- Location: Ångström Laboratory, 64119
- Type: Seminar
- Lecturer: Igor Haladjian (Université de Tours, France)
- Organiser: Matematiska institutionen
- Contact person: Volodymyr Mazorchuk
Igor Haladjian from Université de Tours gives this seminar.
Abstract: The family of Coxeter groups is a combinatorial generalization of finite real reflection groups, which in particular provides a canonical presentation of the braid groups of finite real reflection groups. In the complex case, Broué Malle and Rouquier gave presentations with the same kind of properties for complex reflection groups, but we lack the analogue of Coxeter groups. Achar and Aubert defined the family of J-groups, which partially satisfies what one would expect from such a family of groups. After recalling the above framework, I will explain how the family of J-reflection groups (a subfamily of the family of J-groups) fully satisfies the properties one could expect for such a generalization, and how it can help us gathering new information about rank two complex reflection groups.
Join on site or via Zoom link (Meeting ID: 645 5572 6999, please contact the organizer for passcode)
This is a seminar in our algebra seminar series.
Welcome to join!