5 problems

Elliptic stable-basis duality conjecture. For any $p_1,p_2\in X^H$,

R-matrix correspondence conjecture. The endomorphism

Let $G/B$ be the flag variety for a semisimple group of rank $n$, let $W$ be its Weyl group, and let $\tau_w^+$ be the coefficients in the expansion of the positive stable basis in…

Let $H_m$ be the rational Cherednik algebra, let $\mathcal{O}_m$ be its category $\mathcal{O}$, let $M_m(\lambda)$ be a Verma module, and let $s^m_\lambda$ be the stable-basis vect…

Let $K=\bigoplus_{n=0}^{\infty}K_{\mathbb{C}^*\times\mathbb{C}^*}(\operatorname{Hilb}_n)$, let $m=\frac{a}{b}$ with $\gcd(a,b)=1$, and let $\mathcal{A}^{(m)}$ be the slope-$m$ Heis…