Title: Overconvergent companion forms, companion points, and locally analytic socle(III)
Speaker: Yiwen Ding (Imperial College London)
Time: 2016-4-5, 10:00-11:30
Place: 610
Abstract: We construct (patched) eigenvariety for rank 2 definite unitary group (splitting at p). Using locally analytic representation theory, we construct "partially classical" stratifications of the (patched) eigenvariety. And we explain how to deduce Breuil's locally analytic socle conjecture for GL2(L) from the geometry of these stratifications. We leave the study of these stratifications to the next lecture.
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