5 problems

Vanishing and parity conjecture. For every integer $k$ and every $c<0$,

Flattening conjecture. The flattening of ${\mathcal{V}}$ is a complex ${\mathcal{E}}$ satisfying the requirements of Gorsky–Negut–Rasmussen's conjecture.

Extension conjecture. This functor extends to a functor

Flattening conjecture. The complex associated to the standard representation can be flattened to a central complex in finite type $A$.

Let $p$ be a prime, let $l\geq 2$, and fix the data $(e,l,n,\kappa)$ of a generalized blob algebra. For a regular $\boldsymbol{\lambda}\in P_1^l(n)$, let…