Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Lue Pan, Princeton University
Inviter:
Title:
Patching and the Fontaine-Mazur conjecture
Time & Venue:
2018.6.11/12 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.