Dr. Lue Pan（Princeton University）

2018.06.11，10:00-12:00
2018.06.12，10:00-12:00

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.