5 papers · 1 filter
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}…
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…
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…
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…
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…