Patching and the Fontaine-Mazur Conjecture
Dr. Lue Pan
2018-06-11 10:00-12:00
N818
6月11日（周一），12日（周二），10:00-12:00
教室：南楼818
题目，摘要：
Title: Patching and the Fontaine-Mazur conjecture
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.
Dr. Lue Pan (Princeton University)
