Projects per year
Abstract
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 notquasisplit) over a nonarchimedean 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.
Original language  English 

Pages (fromto)  10831120 
Number of pages  38 
Journal  Proceedings of the London Mathematical Society 
Volume  121 
Issue number  5 
Early online date  28 Jun 2020 
DOIs  
Publication status  Published  Nov 2020 
Profiles

Shaun Stevens
 School of Engineering, Mathematics and Physics  Professor of Mathematics
 Algebra and Combinatorics  Member
Person: Research Group Member, Academic, Teaching & Research
Projects
 1 Finished

Explicit Correspondences in Number Theory.
Engineering and Physical Sciences Research Council
31/03/10 → 30/03/15
Project: Fellowship