Relative Calabi-Yau completions and higher preprojective algebras

Slides Video

Université Paris Cité, FR

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calabi-yau structure calabi-yau completion higher auslander-reiten theory higher auslander-reiten translation higher preprojective algebra

In this talk, we will give an introduction to (relative) Calabi-Yau structures following Brav-Dyckerhoff and (relative) Calabi-Yau completions following Yeung. We will then illustrate the relevance of these constructions to higher Auslander-Reiten theory on the example of higher preprojective algebras in the sense of Iyama-Oppermann. This is a report on part of Yilin Wu’s ongoing Ph. D. thesis.