7 problems

Let $\beta$ be a braid on $n$ strands. Let $\operatorname{Hilb}^n(\mathbb{C}^2,\mathbb{C})$ be the indicated Hilbert scheme, let $\mathcal{T}$ be its tautological rank-$n$ bundle,…

Let $X$ be a toric variety and let $\mathcal{E}$ be a reflexive equivariant sheaf over $X$, described by filtrations $E^\rho(i)$ and an underlying vector space arrangement. Conject…

Braverman's conjecture. The Euler characteristic satisfies

Let a Calabi–Yau be obtained in a setting with equivariant sheaves, and consider the restrictions of such sheaves to Calabi–Yau subvarieties. Equivariant-sheaf (0,2) mirror conject…

Let $X$ be the building of $G$, and let ${\mathscr{S}}$ be the Schneider–Stuhler $G$-equivariant sheaf associated with an irreducible supercuspidal representation. A basic elementa…

Let $G$ be the reductive group, with $U$ and $U^-$ opposite maximal unipotent subgroups and $T$ a maximal torus, and let … be the Harish-Chandra transform and … be the long intertw…

Let $X$ be a complex algebraic variety equipped with a $\boldsymbol{\varpi}$-action, and let $P$ be a $\boldsymbol{\varpi}$-equivariant perverse sheaf of $K$-vector spaces on $X$.…