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 > Higher local constants, local global principles and the Langlands correspondence for GL(n)

## Higher local constants, local global principles and the Langlands correspondence for GL(n)Add to your list(s) Download to your calendar using vCal - Guy Henniart (Paris-Sud)
- Wednesday 22 January 2020, 16:30-17:30
- MR12.
If you have a question about this talk, please contact Christopher Brookes. Let F be a p-adic field. The local Langlands correspondence for GL(n,F) relates irreducible degree n representations of the absolute Galois group of F to cuspidal representations of GL(n,F). For n=1 it is given by class field theory, and for n>1 it is characterized by the preservation of fine invariants called “epsilon factors for pairs”, obtained from the tensor product of two representations on the Galois side, and by Rankin-Selberg convolutions on the GL(n) side. But there are other invariants defined on both sides, and naturally they should correspond via the Langlands correspondence too. After a general introduction to the topic, we shall look at the local factors which correspond on the Galois side to taking the exterior and symmetric square of a representation, and are obtained on the GL(n) side by a method of Langlands-Shahidi. We shall indicate a global-local proof of their preservation by the Langlands correspondence, which uses the Galois representations attached to regular algebraic cuspidal automorphic representations of GL(n) over (totally real) number fields. 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
- Hanchen DaDaDash
- Interested Talks
- MR12
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsNumber Theory Study Group: Langlands correspondence Engineering Department Dynamics and Vibration Tea Time Talks Martin Centre Research Seminars, Dept of Architecture## Other talksAn investigation into the neural basis of self- and other-referential thoughts The Anne McLaren Lecture Mixing mitosis and meiosis in Drosophila CANCELLED Heavens and Earth: An Empirical Approach to Knowledge Across Cultures– gloknos Annual Lecture Series Russia: Understanding cultural, behavioural and historical factors |