主 题: On the mod p and p-adic Langlands program for GL_n
报告人: Florian Herzig (Toronto)
时 间: 2015-04-27 14:00 - 16:00
地 点: Room 82J04, Jia Yi Bing Building, 82 Jing Chun Yuan, BICMR
Speaker: Florian Herzig (Toronto)
Time and place:
4.17 Friday, 14:00-16:00 , 82J04, Jiayibing building
4.20 Mon. 14:00-16:00 , Quan29, Quanzhai
4.21 Tues. 14:00-16:00 , 82J04, Jiayibing building
4.22 NO TALK
4.23 Thurs. 14:00-16:00 , 82J04, Jiayibing building
4.24 Fri. 14:00-16:00 , 82J04, Jiayibing building
4.27 Mon. 14:00-16:00 , Quan29, Quanzhai
(all talks are in 82J04, except 4.20 and 4.27)
Most of the talks should be 1 hour. But the speaker might extend it to 1.5 hour or 2 hours.
Abstract: the p-adic langlands correspondence for GL2(Qp) relates 2-dimensional p-adic representations of the galois group of Qp to certain p-adic banach space representations of GL2(Qp). similarly the mod p langlands correspondence relates representations of these two groups over a field of characteristic p. one hopes that there is a generalisation of these correspondences to GLn(Qp), n > 2, but so far not too much is known. the purpose of these talks is to make speculations on some rough features of such a correspondence (especially, but not only, in the mod p case) and to give some evidence using global methods. this is joint work with Christophe Breuil and Benjamin Schraen.