7 problems

Let $R_{Sakai}$ be the ring generated by the Sakai Jacobi-form generators, and call an element of $R_{Sakai}$ a cusp polynomial if it vanishes at $q=0$ for general $E_8$ elliptic p…

$E_8$ semi-adaptedness conjecture. No reduced expression for $E_8$ is $i$-semi-adapted for all $i$.

Let $\mathbf{z}_{E_8}$ be an $E_8$ fugacity, and let $[k,0,0,0,0,0,0,0]_{\mathbf z}$ denote the character of the irreducible $E_8$ representation with Dynkin labels…

Zamolodchikov's conjecture. This is the start of a sequence of integrals of motion whose spins include all values of $s$ relatively prime to $30$.

Let $\mathcal{A}_{8,1}$ denote the rank-$8$ reflection arrangement of type $E_8$, and let “HeuristicGoodOrdering” denote the ordering procedure produced by Algorithm 5.4. Heuristic…

The $E_{8}$ root system is a root system of exceptional type, and the Ising model is a two-dimensional statistical-mechanical model whose perturbations can be studied through its a…

Let $k$ be a field of characteristic $0$ and cohomological dimension at most $2$, and let $G$ be a group of type $E_8$ over $k$. Serre's Conjecture II. Every group of type $E_8$ ov…