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Towards an upper bound for the number of composition factors of Specht modules.

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  • UserDiego Millan Berdasco, Queen Mary University of London
  • ClockFriday 16 November 2018, 15:00-16:00
  • HouseCMS, MR14.

If you have a question about this talk, please contact Stacey Law .

The most important open problem in the modular representation theory of the symmetric group is finding the number and multiplicity of the composition factors of the Specht modules. In characteristic 0 these are just the simple modules of FSn, but in positive characteristic they may no longer be simple. We will survey the rich interplay between representation theory and combinatorics of partitions with the goal to show our ongoing work in obtaining an upper bound for certain Specht modules. We will conjecture how to extend this to all Specht modules.

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

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via zoom, recording available with Raven at https://upload.sms.cam.ac.uk/media/3270095 Senior Parlour, Gonville & Caius College CMS, MR2

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