3 papers
math.NT2026
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}…
math.NT2025
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…
math.NT2025
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…