Algebra Seminar: A Characterisation of A_infinity-Ext-Algebras of Simples
- Date: 11 March 2025, 15:15–17:00
- Location: Ångström Laboratory, 64119 + Zoom
- Type: Seminar
- Lecturer: Marvin Plogmann (University of Cologne)
- Organiser: Matematiska institutionen
- Contact person: Volodymyr Mazorchuk
Marvin Plogmann (University of Cologne) gives this seminar. Welcome to join!
Abstract: An interesting class of A_infinity-algebras, naturally arising in representation theory, are the Ext-algebras of simple modules for a finite-dimensional algebra. But how are these distinguished among general A_infinity-algebras?
We will see that there is a bijective correspondence, given by Koszul duality, between finite-dimensional algebras and coconnective, augmented, locally finite, homologically smooth A_infinity-algebras that are generated in degrees 0 and 1 in a precise, coherent sense.
I will discuss dg-realisation functors, as well as conditions for them to be an equivalence and how to use those to obtain the above correspondence and generalise it to proper connective dg-algebras.
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.