3 problems

Let $(\mathcal E,a)$ be as in the arithmetic Siegel-Weil formula, and let $\chi\colon\mathbb A_{F'}^\times\to\mathbb C^\times$ be an unramified Hecke character whose restriction to…

Assume $n=2m$, let $\chi\colon\mathbb A_{F'}^\times\to\mathbb C^\times$ be an unramified Hecke character trivial on $\mathbb A_F^\times$, and assume the modularity conjecture so th…

Feng-Yun-Zhang's modularity conjecture. There is an automorphic form