Title: Rigid inner forms and the Bernstein decomposition for L-parametersAbstract: The purpose of this talk is to explain the construction of the Bernstein decomposition for enhanced L-parameters (first introduced by Aubert-Moussaoui-Solleveld using Arthur’s enhancements of L-parameters) in Kaletha’s framework of rigid inner forms. This is the first step in a general strategy to reduce local Langlands correspondences to the […]

Title: Quantum ergodicity on the Bruhat-Tits building for PGL(3, F) in the Benjamini-Schramm limit Abstract: Originally, quantum ergodicity concerned equidistribution properties of Laplacian eigenfunctions with large eigenvalue on manifolds for which the geodesic flow is ergodic. More recently, several authors have investigated quantum ergodicity for sequences of spaces which "converge" to their common universal cover […]