4 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…
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…