L-invariants and p-adic Langlands program
Time: Mon, 3 Dec 2018, 15:20-16:55
Place: Lecture Hall, 3rd floor, Jin Chun Yuan West Building
Speaker: Yiwen Ding (BICMR, Peking University)
Abstract:
Let V be a semi-stable non-crystalline p-adic Galois representation. By p-adic Hodge theory, one can associate to V the so-called Fontaine-Mazur L-invariants, which are invisible in the classical local Langlands correspondence. A task in p-adic Langlands program is to understand their counterpart on the automorphic side. In this talk, we will first review some of Breuil’s initial work on p-adic Langlands program and L-invariants in GL2(ℚp)-case, and then report some recent progress (joint with Breuil) on higher L-invariants.