hecke eigensheaves 1igusa varieties 1local langlands 1raptorport-zhink spaces 1shtukas 1spectral action 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NT2026
On categorical local langlands program for
Kieu Hieu Nguyen
The paper investigates moduli spaces of local shtukas for GL_n in the framework of Fargues' program, providing explicit descriptions of the spectral action, constructing Hecke eige…
math.NT2025
Categorical local Langlands and torsion classes of some Shimura varieties
Kieu Hieu Nguyen
We study the cohomology of various local Shimura varieties for . This provides an explicit description of the spectral action constructed by Fargues-Scholze in certain cases…
math.NT2024
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…