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Serre weights and wild ramification in two-dimensional Galois representations

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  • UserFred Diamond (KCL)
  • ClockTuesday 17 November 2015, 14:15-15:15
  • HouseMR13.

If you have a question about this talk, please contact Jack Thorne.

For a mod p Galois representation arising from a Hilbert modular form, the weight part of Serre’s Conjecture (proved by Gee at al) determines the weights of forms from which it arises. However the dependence of the weights on wild ramification is not explicit. I’ll discuss joint work with Dembele and Roberts towards making it so, or equivalently, describing wild ramification in reductions of two-dimensional crystalline Galois representations.

This talk is part of the Number Theory Seminar series.

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