7 problems

Let $\mathfrak{H}^0$ be the admissible word space, let $\mathfrak{H}^0_\ast$ denote its harmonic-product algebra, and define…

Let $\mathcal{E}^f$ be the formal multiple Eisenstein-series algebra, let $\mathcal{G}^f$ be the ambient formal algebra, and let $\theta=-\mathcal{D}\circ\varphi$ on the relevant w…

The derivative and relations conjecture for multiple Eisenstein series. For every $w\in\mathfrak{H}^{\geq2}$,

The $\mathfrak{sl}_2$-algebra conjecture for multiple Eisenstein series. These maps should be well-defined $\mathbb{Q}$-linear maps on $\mathcal{E}$, should be derivations, and sho…

Let $\mathcal{E}_k$ be the weight-$k$ component of the algebra of multiple Eisenstein series. Define the generating series for modular forms and cusp forms by … Here…

Let $\mathcal{E}^{\!f}$ be the subspace of $\operatorname{Fil}^{\mathrm{lwt}}_0\mathcal{G}^{\!f}$ spanned by $G^{\!f}(k_1,\dots,k_r)$ with $r\geq0$ and $k_1,\dots,k_r\geq2$, and le…

Let $\mathcal{G}^{\!f}$ be the commutative $\mathbb{Q}$-algebra of formal multiple Eisenstein series, with elements $G^{\!f}(k_1,\dots,k_r)$ and double-indexed elements…