5 problems

Let $\Sigma$ be a compact oriented $2$-manifold and let $G$ be a semisimple group, with Langlands dual group $G^{\vee}$. Let…

Let $M$ be a Seifert-fibred $3$-manifold, let $G$ be a semisimple group, and for $n>0$ let $\Sigma_{\mathrm{orb},M}^{[n]}$ be the quotient of $M$ by the $S^1$-action composed with…

Safronov's conjecture. There is a natural isomorphism

Let $G$ be a connected, simply connected, and semisimple complex Lie group. Let $F$ be a finite subgroup of its center $Z(G)$, and let ${}^L\tilde{G}$ be the universal covering of…

Let $Q=(I,\Omega)$ be a quiver, let $\mathcal{M}_{s,\alpha}$ be the associated multiplicative quiver stack over $\mathbb{F}_q$, and define the class function…