5 citations · 7 across the 9 of their papers we have counts for
9 papers
A Tannakian description of the local Kaletha gerbe
Alexander Bertoloni Meli, Peter Dillery
We construct, for a -adic field , an explicit semisimple Tannakian category whose category of fiber functors recovers Kaletha's Galois gerbe $\mathcal{E}…
Inequalities characterizing distinguished unipotent orbits
Alexander Bertoloni Meli, Teruhisa Koshikawa, Jonathan Leake
In this paper we prove a new characterization of the distinguished unipotent orbits of a connected reductive group over an algebraically closed field of characteristic 0. For class…
The B(G)-parametrization of the local Langlands correspondence
Alexander Bertoloni Meli, Masao Oi
This article is on the parametrization of the local Langlands correspondence over local fields for non-quasi-split groups according to the philosophy of Vogan. We show that a param…
Compatibility of the Fargues--Scholze correspondence for unitary groups
Alexander Bertoloni Meli, Linus Hamann, Kieu Hieu Nguyen
We study unramified unitary and unitary similitude groups in an odd number of variables. Using work of the first and third named authors on the Kottwitz Conjecture for the similitu…
The stable trace formula for Igusa varieties, II
Alexander Bertoloni Meli, Sug Woo Shin
Assuming the trace formula for Igusa varieties in characteristic p, which is known by Mack-Crane in the case of Hodge type with good reduction at p, we stabilize the formula via Ka…
The Jacobson--Morozov morphism for Langlands parameters in the relative setting
Alexander Bertoloni Meli, Naoki Imai, Alex Youcis
We construct a moduli space of -parameters over , and show that it has good geometric properties (e.g. explicitly parametrized geometric…
An averaging formula for the cohomology of PEL-type Rapoport--Zink spaces
Alexander Bertoloni Meli
We prove under certain assumptions a formula for the cohomology of PEL-type Rapoport--Zink spaces that "averages" over the Kottwitz set. Our formula generalizes that of Shin's beyo…
Global B(G) with adelic coefficients and transfer factors at non-regular elements
Alexander Bertoloni Meli
The goal of this paper is extend Kottwitz's theory of for global fields. In particular, we show how to extend the definition of " with adelic coefficients" from tori t…
An Approach to the Characterization of the Local Langlands Correspondence
Alexander Bertoloni Meli, Alex Youcis
In this paper, we give a method for characterizing the local Langlands conjectures in the vein of Scholze's alternate proof of the local Langlands conjecture for . M…