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 > Algebra and Representation Theory Seminar > Modular representations of p-adic groups and the Jacquet—Langlands correspondence

## Modular representations of p-adic groups and the Jacquet—Langlands correspondenceAdd to your list(s) Download to your calendar using vCal - Shaun Stevens (UEA)
- Wednesday 22 February 2017, 16:30-17:30
- MR12.
If you have a question about this talk, please contact Christopher Brookes. The Jacquet—Langlands correspondence is a bijection between certain irreducible complex representations of a general linear group over a p-adic field and an inner form of such a group, defined by a character relation. While the existence of the correspondence has been known since the 1980s, it is not yet known how to make it explicit in general, even though there are classifications of the irreducible representations on both sides (and more); moreover, all results so far (mostly due to Bushnell—Henniart) have concentrated on the ``cuspidal’’ case, where the character relation is more amenable to computation. As well as trying to explain what these words mean, I will report on work where we bring the mod-l representation theory of p-adic groups to bear on this question (for l a prime different from p), in particular reducing most of the problem to the cuspidal case. This talk is part of the Algebra and Representation Theory Seminar series. ## This talk is included in these lists:- Algebra and Representation Theory Seminar
- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- MR12
- School of Physical Sciences
Note that ex-directory lists are not shown. |
## Other listsGuy Emerson's list Cafe RSA Behavioural and Clinical Neuroscience Seminars## Other talksEarly Life Undernutrition Alters Cardiac Muscle Development Resulting in Reduced Physical Activity Engagement and Increased Risk of Cardiovascular Disease Professor Ryan Adams to confirm Coatable photovoltaics (Title t o be confirmed) A feast of languages: multilingualism in neuro-typical and atypical populations A deep dive into Multicore OCaml garbage collector TBC |