3 problems

Let $\chi_{q,t}$ be the $q,t$-character morphism, and let $F_t(\tilde{Y}_{i,0})=\chi_{q,t}(Y_{i,0})$ be the $q,t$-character of a fundamental representation. Positivity conjecture f…

For an affine quantum group $\mathcal{U}_q(\hat{\mathfrak{g}})$, let $\chi_{q,t}$ denote the $t$-deformed $q$-character map, a deformation of the $q$-character map $\chi_q$ whose v…

Nakajima's conjecture. The dependence on $t$ in the $q,t$-characters should be related to the natural Jordan filtration of the $\ell$-weight spaces by the Heisenberg subalgebra…