4 citations · 4 across the 7 of their papers we have counts for
7 papers
Courbes et fibrés vectoriels en théorie de Hodge -adique globale
Siyan Daniel Li-Huerta
We study the global analogue of the Fargues-Fontaine curve over function fields . We prove some foundational results about its moduli of -bundles ,…
Gross's conjecture: the dihedral case
Petar Bakić, Aleksander Horawa, Siyan Daniel Li-Huerta +1
Quaternionic modular forms on carry a surprisingly rich arithmetic structure. For example, they have a theory of Fourier expansions where the Fourier coefficients ar…
On close fields and the local Langlands correspondence
Siyan Daniel Li-Huerta
We prove that Fargues-Scholze's semisimplified local Langlands correspondence (for quasisplit groups) with -coefficients is compatible with Deligne and…
Global long root -packets for : the dihedral case
Petar Bakić, Aleksander Horawa, Siyan Daniel Li-Huerta +1
Cuspidal automorphic representations of correspond to global long root -parameters for . Using an exceptional theta lift between $\mathrm{PU}_…
Local-global compatibility over function fields
Siyan Daniel Li-Huerta
We prove that V. Lafforgue's global Langlands correspondence is compatible with Fargues-Scholze's semisimplified local Langlands correspondence. As a consequence, we canonically li…
The plectic conjecture over local fields
Siyan Daniel Li-Huerta
Using a mixed-characteristic incarnation of fusion, we prove an analog of Nekovář-Scholl's plectic conjecture for local Shimura varieties. We apply this to obtain results on the pl…
The plectic conjecture over function fields
Siyan Daniel Li-Huerta
We prove the plectic conjecture of Nekovář-Scholl over global function fields . For example, when the cocharacter is defined over and the structure group is a Weil restricti…