3 papers
math.NT2026
A generic categorical local Langlands correspondence for quasi-split reductive groups
David Helm, Maarten Solleveld, Yujie Xu
We prove a categorical local Langlands conjecture for a large class of quasi-split reductive -adic groups , including all quasi-…
math.RT2025
Hecke algebras and local Langlands correspondence for non-singular depth-zero representations
Maarten Solleveld, Yujie Xu
Let G be a connected reductive group over a non-archimedean local field. We say that an irreducible depth-zero (complex) G-representation is non-singular if its cuspidal support is…
math.NT2025
On depth-zero characters of p-adic groups
Maarten Solleveld, Yujie Xu
We show new properties of the Langlands correspondence for arbitrary tori over local fields. Furthermore, we give a detailed analysis of depth-zero characters of reductive p-adic g…