IAS/PU NUMBER THEORY | |

Topic: | Local-Global Compatibility in p-Adic Langlands for GL_2(Q) |

Speaker: | Matthew Emerton |

Affiliation: | Northwestern University |

Date: | Thursday, March 29 |

Time/Room: | 5:30pm - 6:30pm/Fine Hall 322, Princeton University |

In this talk I will explain some recent results on local-global compatibility for the action of GL_2 of the finite adeles on the p-adically completed cohomology of modular curves, as well as some applications of these results (e.g. to the Fontaine-Mazur conjecture). These results rely for their proof on the existence of a p-adic local Langlands correspondence, recently constructed by Colmez, and I will also spend some time describing Colmez's work.