Companion points and local-global compatibility for GL2
主 题: Companion points and local-global compatibility for GL2
报告人: Yiwen Ding (Imperial College London)
时 间: 2015-12-28 10:00-12:00
地 点: Quan 9, BICMR(Number theory seminar)
Let L be a finite extension of Qp, we prove Breuil's locally analytic socle conjecture for GL2(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 bewteen (partially) de Rham families and (partially) Hodge-Tate families.