[HTML][HTML] Abelian surfaces over totally real fields are potentially modular
We show that abelian surfaces (and consequently curves of genus 2) over totally real fields
are potentially modular. As a consequence, we obtain the expected meromorphic …
are potentially modular. As a consequence, we obtain the expected meromorphic …
Some modular abelian surfaces
F Calegari, S Chidambaram, A Ghitza - Mathematics of Computation, 2020 - ams.org
In this note, we use the main theorem of Boxer, Calegari, Gee, and Pilloni in Abelian
surfaces over totally real fields are potentially modular (arXiv: 1812.09269, 2018) to give …
surfaces over totally real fields are potentially modular (arXiv: 1812.09269, 2018) to give …
Paramodular forms of level 16 and supercuspidal representations
C Poor, R Schmidt, DS Yuen - Moscow Journal of Combinatorics and …, 2019 - msp.org
This work bridges the abstract representation theory of GSp (4) with recent computational
techniques. We construct four examples of paramodular newforms whose associated …
techniques. We construct four examples of paramodular newforms whose associated …
Moduli Spaces of Abelian Varieties Associated to mod-p Galois Representations
S Chidambaram - 2021 - search.proquest.com
This thesis consists of four research papers stapled together. In this work, we study moduli
spaces of principally polarised abelian varieties of dimension g> 1 with p-torsion structure …
spaces of principally polarised abelian varieties of dimension g> 1 with p-torsion structure …