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Speaker: Beth Romano (University of Cambridge)

Detail Summary
Date 3 April 2019
Time 16:00 - 16:45
Location Science Park 107
Room Location: KdVI meeting room, Science Park 107, room F3.20

Title:

Wild Ramification and the Local Langlands Correspondence

Abstract:

The local Langlands correspondence (LLC) is an amalgam of conjectures that has driven research in both representation theory and number theory for the past 50 years. In this talk, we will look at explicit examples to explore a particularly mysterious piece of the LLC, related to wild ramification.

More specifically, given a prime number p, the LLC predicts a way of understanding Galois extensions of the field of p-adic numbers. The part of the correspondence related to wildly ramified extensions seems to behave badly whenever p is too small. I will talk about progress in understanding and proving this part of the correspondence. 

Location:

KdVI meeting room, room F3.20

Science Park 107
Science Park 107

Room Location: KdVI meeting room, Science Park 107, room F3.20

Science Park 107
1098 XG Amsterdam