Generation of unbounded derived categories of modules over groups in Kropholler's hierarchy

Abstract:

For a group $G$ in Kropholler's hierarchy and a commutative ring $R$, we will go through some recently discovered generation properties of $D(\rm{Mod}(RG))$ in terms of localising and colocalising subcategories. If time permits, we will try to include a few comments on how these generation properties shed some light on some deep properties of $D(\rm{Mod}(RG))$ as a triangulated category.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( chat | slides )

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Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start five minutes after the hour. Talks are typically 55 minutes long, including time for questions.

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