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p-adic Hodge theory in rigid analytic families

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  • UserRebecca Bellovin (Imperial College London)
  • ClockTuesday 28 January 2014, 16:15-17:15
  • HouseMR13.

If you have a question about this talk, please contact James Newton.

Broadly speaking, p-adic Hodge theory is the study of representations of Galois groups of p-adic fields on vector spaces with p-adic coefficients. One can use the theory of (\varphi,\Gamma)-modules to convert such Galois representations into simpler linear algebra, and one can also classify such representations in terms of how arithmetically interesting they are. In my talk, I will discuss extensions of this theory to p-adic families of Galois representations. Such families arise naturally in the contexts of Galois deformation rings and p-adic modular forms.

This talk is part of the Number Theory Seminar series.

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