4 problems

Let $\mathrm{U}(n+1,1)$ be the unitary group considered in the paper, and let $g$ denote the codimension of the special cycles. The paper's main completion and explicit-form statem…

Let $L\subset \mathbb{V}$ be an $O_F$-lattice. The modified derived local density is … where the coefficients $c_{n,i}\in\mathbb{Q}$ are chosen so that…

Modularity conjecture. Under the stated assumption, the arithmetic generating series $z(g,\phi)_{{\mathfrak e},{\mathfrak a}}^{\overline{\mathcal L}}$ is holomorphic and modular, w…

Let $E/F$ be a CM extension of number fields, with complex conjugation $\mathtt{c}$, and let $n=2r$ be an even positive integer. Let $W_r=E^n$ with the specified skew-hermitian for…