Frobenius algebras and fractional Calabi-Yau categories

Add to your list(s) Download to your calendar using vCal

• Joseph Grant (University of East Anglia)
• Wednesday 11 May 2022, 15:30-16:30
• Lecture Theatre B, Watson Building.

If you have a question about this talk, please contact Gareth Tracey.

Given a quiver we consider two algebras: its path algebra and its preprojective algebra. If the quiver is Dynkin, i.e., its underlying graph is a simply laced Dynkin diagram, then both algebras have nice properties: the derived category of the path algebra is fractionally Calabi-Yau, and the preprojective algebra is Frobenius with a Nakayama automorphism of finite order. One can show that, if stated carefully, these properties are equivalent. I will give an introduction to the concepts above and, time permitting, will describe some of the ingredients of the proof of this equivalence.

This talk is part of the Algebra seminar series.

This talk is included in these lists:

• Algebra seminar
• Lecture Theatre B, Watson Building
• School of Mathematics events

Note that ex-directory lists are not shown.