Algebra Seminar: Periodic trivial extension algebras and fractionally Calabi–Yau algebras
- Date
- 29 October 2024, 15:15–17:00
- Location
- Ångström Laboratory, 64119
- Type
- Seminar
- Lecturer
- Erik Darpö (Linköpings universitet)
- Organiser
- Matematiska institutionen
- Contact person
- Seidon Alsaody
Erik Darpö from Linköping University gives this seminar. Welcome to join!
Abstract: An important open problem in the homological algebra of self-injective algebras is to characterise periodic algebras. An algebra B is said to be periodic if it has a periodic projective resolution as a B-B-bimodule. In this talk, I will present a solution to this problem for trivial extension algebras: the trivial extension algebra T(A) of a finite-dimensional algebra A is periodic if and only if A has finite global dimension and is fractionally Calabi-Yau. As a consequence, we get a partial answer to the periodicity conjecture of Erdmann-Skowroński, by which the classes of periodic and twisted periodic algebras to are expected to coincide.
The talk is based on joint work with Chan, Iyama and Marczinzik.
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.