5 problems

Let the affine Grassmannian slice carry its category of perverse coherent sheaves and equivariant K-theory, and let the corresponding quantum cluster algebra be equipped with Qin's…

Let $X$ be the local toric Calabi–Yau $3$-fold in the source, let $Y_\infty$ be the geometric Cartan doubled Yangian, and let $V:=H^*_c(\fM_\zeta^\chi,\varphi_W\mathbf{C})^\vee$ be…

Let $X$ be a smooth local toric Calabi–Yau $3$-fold, and let the Drinfeld double of its equivariant spherical Cohomological Hall algebra act on the cohomology of the moduli spaces…

Let $G$ be the reductive group and let $\boldsymbol{X}$ be its weight lattice. For $lambda \in \boldsymbol{X}$, write $\operatorname{dom}(\lambda)$ for the dominant representative,…

Let $G$) be a simply connected semisimple algebraic group over an algebraically closed field of good characteristic, and let $\mathcal{N}$ denote the nilpotent variety in the Lie a…