University of Birmingham > Talks@bham > Algebra Seminar > Block Decompositions of Categories of Modules Determined By Varieties

Block Decompositions of Categories of Modules Determined By Varieties

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  • UserJeremy Rickard, University of Bristol
  • ClockThursday 11 December 2014, 16:00-17:00
  • HousePhysics West 117.

If you have a question about this talk, please contact David Craven.

If G is a finite group, and we are interested in representations of G over a field k of prime characteristic, then an extremely useful tool has been the maximal ideal spectrum of the cohomology algebra of G over k, which is an algebraic variety of which every kG-module determines a subvariety that gives useful information about the module. If we fix a subvariety V and consider the class of modules whose variety is contained in V, then they form a category with many nice properties, especially if we work ‘stably’. After giving an example-based introduction to the theory, I’ll talk about some more recent joint work with Jon Carlson about how these categories decompose into blocks, as well as connections with Linckelmann’s ‘block varieties’.

This talk is part of the Algebra Seminar series.

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