2 problems

Athanasiadis's local gamma-vector conjecture. The local $\gamma$-vector of a flag vertex-induced homology subdivision of a simplex is nonnegative.

Let $V$ be a $d$-element set, and let $\Gamma$ be a flag vertex-induced homology subdivision of the simplex $2^V$. The local $h$-polynomial has a unique expansion … and…