Siyan Daniel Li-Huerta

activity

20242026

collaborators

4 papers

math.NT2026

Courbes et fibrés vectoriels en théorie de Hodge $z$ -adique globale

Siyan Daniel Li-Huerta

We study the global analogue of the Fargues-Fontaine curve over function fields $F$ . We prove some foundational results about its moduli of $G$ -bundles $Bun_{G, F}$ ,…

math.NT2025

Gross's conjecture: the dihedral case

Petar Bakić, Aleksander Horawa, Siyan Daniel Li-Huerta +1

Quaternionic modular forms on $G_{2}$ carry a surprisingly rich arithmetic structure. For example, they have a theory of Fourier expansions where the Fourier coefficients ar…

math.NT2024

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 $F_{ℓ}$ -coefficients is compatible with Deligne and…

math.NT2024

Global long root $A$ -packets for $G_{2}$ : the dihedral case

Petar Bakić, Aleksander Horawa, Siyan Daniel Li-Huerta +1

Cuspidal automorphic representations $τ$ of $PGL_{2}$ correspond to global long root $A$ -parameters for $G_{2}$ . Using an exceptional theta lift between $\mathrm{PU}_…

Courbes et fibrés vectoriels en théorie de Hodge z-adique globale

Gross's conjecture: the dihedral case

On close fields and the local Langlands correspondence

Global long root A-packets for G2​: the dihedral case

Courbes et fibrés vectoriels en théorie de Hodge $z$ -adique globale

Global long root $A$ -packets for $G_{2}$ : the dihedral case