Algebra Seminar with Pierre-Guy Plamondon and Sira Gratz
- Date: 30 May 2023, 14:15–17:00
- Location: Ångström Laboratory, Å64119 + Zoom
- Type: Seminar
- Lecturer: Pierre-Guy Plamondon and Sira Gratz
- Organiser: Matematiska institutionen
- Contact person: Julian Külshammer
Welcome to this extended Algebra Seminar with Pierre-Guy Plamondon and Sira Gratz. Pierre-Guy holds a seminar with the title "Categorifying u-equations" and Sira holds a sminar with the title "Thick Subcategories and Lattices".
Participate on site or via Zoom link (meeting-ID: 645 5572 6999, for passcode: please contact the organizer.
Speaker1 (14:15-15:15) Pierre-Guy Plamondon (Paris-Saclay)
Title: Categorifying u-equations
Abstract: I will present how the representation theory of algebras can be used to categorify equations from mathematical physics called "u-equations". This is done by using the machinery developed in the categorification of cluster algebras, from F-polynomials to g-vectors. This is a report on a work in progress with Arkani-Hamed, Frost, Salvatori and Thomas.
Coffee break (15:15-16:00)
Speaker 2 (16:00-17:00) Sira Gratz (Aarhus)
Title: Thick Subcategories and Lattices
Abstract: The computation of lattices of thick subcategories has emerged as a popular topic and serves as a more achievable analogue of classifying objects. Often one understands such lattices by describing them in terms of some associated topological space. However, in many representation theoretic examples this is not possible. I’ll explain what the obstruction is and introduce possible methods of addressing this issue. This talk is based on joint work with Greg Stevenson.
This is a seminar in our algebra seminar series.