2 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
On categorical local langlands program for
Kieu Hieu Nguyen
We study various moduli spaces of local Shtukas in the setting of Fargues' program for . In certain cases, this gives us an explicit description of the spectral action which…
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…
A Harder-Narasimhan stratification of the -Grassmannian
Kieu Hieu Nguyen, Eva Viehmann
We establish a Harder-Narasimhan formalism for modifications of -bundles on the Fargues-Fontaine curve. The semi-stable stratum of the associated stratification of the $B_{dR}^+…
The Kottwitz conjecture for unitary PEL-type Rapoport--Zink spaces
Alexander Bertoloni Meli, Kieu Hieu Nguyen
In this paper we study the cohomology of PEL-type Rapoport-Zink spaces associated to unramified unitary similitude groups over $\Q_p$ in an odd number of variables. We extend the r…
Shtukas adiques, modifications et applications
Kieu Hieu Nguyen
In this paper, via the study of the modifications of vector bundles on the Fargues-Fontaine curve, we prove a geometric formula relating the Lubin-Tate towers with the simple basic…
Un cas PEL de la conjecture de Kottwitz
Kieu Hieu Nguyen
The Kottwitz conjecture describes the cohomology of basic Rapoport-Zink spaces using local Langlands correspondences. In this paper, via geometrical studies of some Kottwitz-type S…