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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Periodicity for finite-dimensional selfinjective algebras

## Periodicity for finite-dimensional selfinjective algebrasAdd to your list(s) Download to your calendar using vCal - Karin Erdmann (University of Oxford)
- Tuesday 28 March 2017, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. OASW02 - Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras We give a survey on finite-dimensional selfinjective algebras which are periodic as bimodules, with respect to syzygies, and hence are stably Calabi-Yau. These include preprojective algebras of Dynkin types ADE and deformations, as well a class of algebras which we call mesh algebras of generalized Dynkin type. There is also a classification of the selfinjective algebras of polynomial growth which are periodic. Furthermore, we introduce weighted surface algebras, associated to triangulations of compact surfaces, they are tame and symmetric, and have period 4 (they are 3-Calabi-Yau). They generalize Jacobian algebras, and also blocks of finite groups with quaternion defect groups. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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