Projects per year
By computing reducibility points of parabolically induced representations, we construct, to within at most two unramified quadratic characters, the Langlands parameter of an arbitrary depth zero irreducible cuspidal representation (Formula presented.) of a classical group (which may be not-quasi-split) over a non-archimedean local field of odd residual characteristic. From this, we can explicitly describe all the irreducible cuspidal representations in the union of one, two, or four (Formula presented.) -packets, containing (Formula presented.). These results generalize the work of DeBacker–Reeder (in the case of classical groups) from regular to arbitrary tame Langlands parameters.
|Number of pages||38|
|Journal||Proceedings of the London Mathematical Society|
|Early online date||28 Jun 2020|
|Publication status||Published - Nov 2020|
- School of Mathematics - Professor of Mathematics
- Algebra and Combinatorics - Member
Person: Research Group Member, Academic, Teaching & Research
- 1 Finished
Explicit Correspondences in Number Theory.
Engineering and Physical Sciences Research Council
31/03/10 → 30/03/15