Naomi Sweeting

collaborators

4 papers

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.NT2025

On the Bloch-Kato conjecture for some four-dimensional symplectic Galois representations

Naomi Sweeting

The Bloch-Kato conjecture predicts a far-reaching connection between orders of vanishing of $L$ -functions and the ranks of Selmer groups of $p$ -adic Galois representations. In this…

math.AG2024

Modularity of $d$ -elliptic loci with level structure

François Greer, Carl Lian, Naomi Sweeting

We consider the generating series of special cycles on $A_{1} (N) \times A_{g} (N)$ , with full level $N$ structure, valued in the cohomology of degree $2 g$ . The modula…

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}_…

Gross's conjecture: the dihedral case

On the Bloch-Kato conjecture for some four-dimensional symplectic Galois representations

Modularity of d-elliptic loci with level structure

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

Modularity of $d$ -elliptic loci with level structure

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