Ring constructions and generation of the unbounded derived module category

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• Charley Cummings, University of Bristol
• Friday 22 November 2019, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Liam Jolliffe.

Abstract: In representation theory there is a collection of questions that have remained unsolved for over 30 years, and which are now known as the ‘homological conjectures’. Recently, Rickard showed that these conjectures hold for a finite dimensional algebra over a field if its derived module category is generated in a particular way.

In this talk I will describe the derived module category of a ring and the generation property used by Rickard. I will also discuss examples of algebras satisfying this property that can be found using various ring constructions.

This talk is part of the Junior Algebra and Number Theory seminar series.

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