Siyan Daniel Li-Huerta

collaborators

4 papers

math.NT2026

Courbes et fibrÃ©s vectoriels en thÃ©orie 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

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

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

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

math.NT2025

Gross's conjecture: the dihedral case

Petar BakiÄ, 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.NT2025

The plectic conjecture over local fields

Siyan Daniel Li-Huerta

Using a mixed-characteristic incarnation of fusion, we prove an analog of NekovÃ¡Å-Scholl's plectic conjecture for local Shimura varieties. We apply this to obtain results on the…

Courbes et fibrÃ©s vectoriels en thÃ©orie de Hodge z-adique globale

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

Gross's conjecture: the dihedral case

The plectic conjecture over local fields

Courbes et fibrÃ©s vectoriels en thÃ©orie de Hodge $z$ -adique globale

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