About the Project
One of the difficulties in studying this is that the representations of G are (almost all) infinite-dimensional, so they are quite hard to get a handle on. One way for doing so, which has been very successful, is to restrict them to compact open subgroups K: we then look for representations of K whose presence in this restriction characterizes some property which representations of G might have; this property might be being “unramified”, ”tame”, “generic”,… Similarly, this restriction can be used to give very explicit descriptions of the representations of G, using arithmetic data. Such results also have interpretations via the Langlands correspondence, so consequences for the absolute galois group.
This PhD project will be in the area of the local Langlands correspondence, exploring some of the problems raised above, or related questions.
For more information on the supervisor for this project, please go here https://people.uea.ac.uk/shaun_stevens
This is a PhD programme.
The start date is 1st October 2021.
The mode of study is full time.
A bench fee is also payable on top of the tuition fee to cover specialist equipment or laboratory costs required for the research. Applicants should contact the primary supervisor for further information about the fee associated with the project.
Acceptable first degree in Mathematics. The standard minimum entry requirement is 2:1.
ii) “The local Langlands conjecture for GL(2),” Colin Bushnell and Guy Henniart, Grundlehren der Mathematischen Wissenschaften 335, Springer-Verlag, Berlin, 2006.
iii) “The supercuspidal representations of p-adic classical groups,” Shaun Stevens, Invent. Math. 172(2) (2008) 289-352.
iv) "Endo-classes for p-adic classical groups," Robert Kurinczuk, Daniel Skodlerack and Shaun Stevens, Invent. Math. (2020).
v) “Generic smooth representations,” Alexandre Pyvovarov, 2018 arXiv:1803.02693
Why not add a message here
Based on your current searches we recommend the following search filters.
Based on your current search criteria we thought you might be interested in these.