4 problems

Let $E_\tau$ be the elliptic curve with parameter $\tau\in\mathbb{H}$, and let $\Sigma=\{p_1,\ldots,p_n\}\subseteq E_\tau$, where $n$ is even. Let $AP_\Sigma(\tau)$ be the associat…

Let $\tau\in\mathbb{H}$, let $\Sigma=E_\tau[2]$, and let $(\alpha_1,\ldots,\alpha_4)\in(2\mathbb{Z})^4$. The apparent space $AP_\Sigma(\tau)$ parametrizes the relevant apparent dat…

Let $\mathcal{H}^{e\text{RS}}_k$ be the elliptic Ruijsenaars-Schneider Hamiltonians for $k=1,\dots,N-1$, and let $\mathcal{Z}^{\text{RS}}(\textbf{a},\textbf{x})$ be a function of t…

Let $N-1$ degrees of freedom of the quantum double elliptic (DELL) system be described by the current $\mathcal{O}(z)$ and let $\mathcal{Z}^{DELL}_{\text{inst}}(p,x_1,\dots, x_N)$…