COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Number Theory Seminar > Representations of p-adic groups via geometric invariant theory

## Representations of p-adic groups via geometric invariant theoryAdd to your list(s) Download to your calendar using vCal - Beth Romano (University of Cambridge)
- Tuesday 01 November 2016, 14:30-15:30
- MR13.
If you have a question about this talk, please contact Jack Thorne. Let G be a semisimple split reductive group over a finite extension k of Q_p. Reeder and Yu have given a new construction of supercuspidal representations of G(k) using geometric invariant theory. Their construction is uniform for all p but requires as input stable vectors in certain representations coming from Moyâ€“Prasad filtrations. In joint work, Jessica Fintzen and I have classified the representations of this kind which contain stable vectors; as a corollary, the construction of Reeder-Yu gives new representations when p is small. In my talk, I will give an overview of this work, as well as explicit examples for the case when G = G_2. For these examples, I will explicitly describe the locus of all stable vectors, as well as the Langlands parameters which correspond under the local Langlands correspondence to the representations of G(k). This talk is part of the Number Theory Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Hanchen DaDaDash
- Interested Talks
- MR13
- Number Theory Seminar
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsMachine Intelligence Laboratory Speech Seminars Office of Scholary Communication [POPULAR Science] St Catharine's Political Economy Seminar Series Centre for European Legal Studies CISA## Other talksLipschitz Global Optimization An exploration of grain growth & deformation in zirconium Smuts, bunts and ergots Plastics in the Ocean: Challenges and Solutions Organic Bio-Electronic systems: from tissue engineering to drug discovery Recent Changes of Korean Government's Strategy on back-end fuel cycle and the changing course of a University Laboratory |