Generation of Derived Categories for Groups Lying in Kropholler's Hierarchy

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• Rudradip Biswas, University of Manchester
• Friday 15 May 2020, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Matthew Conder.

I will show in my talk how, for groups lying in the hierarchy first introduced by Peter Kropholler in the nineties, one can generate the derived bounded category of chain complexes as the smallest full triangulated subcategory of it containing a certain class of objects. I will prove similar results for derived unbounded categories, derived bounded above and derived bounded below categories and show how these results relate to generation results in the general module category. All of this is part of work done during my PhD.

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

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