Title: Patching and the Fontaine-Mazur Conjecture
Speaker: Dr. Lue Pan (Princeton University)
Time: 2018-6-12, 10:00-12:00
Place: N818
Abstract: I will first review the (classical) Taylor-Wiles-Kisin patching construction and its application for attacking some cases of the Fontaine-Mazur conjecture. Then I will introduce Emerton's completed homology for GL_2/Q and explain how to modify the patching argument in this setting. One key ingredient is Paskunas' work on the p-adic local Langlands correspondence for GL_2/Q_p.