Speaker: |
Judith Ludwig (Imperial College London) |
Title: |
An introduction to (p-adic) Langlands functoriality |
Date (JST): |
Tue, Oct 21, 2014, 15:30 - 17:00 |
Place: |
Seminar Room B |
Abstract: |
I will begin this talk with an introduction to the Langlands programme. After some general philosophy we will focus on one of the most important pillars of the programme - the so called Langlands functoriality conjectures. A powerful strategy to study certain questions of the Langlands programme is to put the objects of interest into p-adic families. Sometimes these families can even be organised into p-adic geometric spaces. The second part of my talk will be concerned with these spaces and with the question of extending the classical Langlands functoriality conjectures to the p-adic geometric setting. Finally we will see some examples, where the classical conjecture is known and can be used to prove the p-adic version. |