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University of Cambridge > Talks.cam > Number Theory Seminar > Companion points and locally analytic socle for GL(2)
Companion points and locally analytic socle for GL(2)Add to your list(s) Download to your calendar using vCal
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. This talk is included in these lists:
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