6 problems

Localize all spaces at $3$. Let $B_2(27,35)$ denote the space occurring in the proposed spherical resolution, and let $\alpha_2$ be the element generating…

Let $S^*$ denote the unit circle, and let $\tilde J_{G_2}$ be the weight function associated with the paper's Euler-angle parametrization of $G_2$. A function … is $\frac{1}{4}$-ad…

The twisted $E_8$-equivariant lift conjecture. The element $e_8$ lifts to

Let $\mathcal{O}_q(\mathbb{OP}^2)$ be the quantum Cayley plane and $\mathcal{O}_q(\mathbf{F})$ the quantum Freudenthal variety, each equipped with its Heckenberger--Kolb calculus.…

Kono's conjecture. For $i,j\in\mathtt{t}(G)$, there exists $k\in\mathtt{t}(G)$ satisfying

Let $E_8$ be the exceptional Lie group, and let $BE_8$ be its classifying space. Write … for the adjoint representation, and let $w_{128}(\rho_8)$ denote its 128-th Stiefel–Whitney…