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Companion points and locally analytic socle for GL(2)

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  • UserYiwen Ding (Imperial College London)
  • ClockTuesday 25 October 2016, 14:30-15:30
  • HouseMR13.

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

Let L be a finite extension of Q_p. Under mild technical hypothesis, we prove Breuil’s locally analytic socle conjecture for GL_2(L), showing the existence of all the companion points on the definite (patched) eigenvariety. This work relies on infinitesimal “R=T” results for the patched eigenvariety and the comparison of partially de Rham families and partially Hodge-Tate families.

This talk is part of the Number Theory Seminar series.

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