3 problems

Strong inverse $Z$-polynomial log-concavity conjecture. For any matroid $\mathrm{M}$ equipped with an action of a finite group $W$, the coefficients of the equivariant inverse $Z$-…

Equivariant unimodality conjecture. For any matroid $\mathrm{M}$ equipped with an action of a finite group $W$, the coefficients of its equivariant inverse $Z$-polynomial are equiv…

Let $W$ be a finite crystallographic Coxeter group, and let $\operatorname{Cox}(W)$ be its Coxeter complex. Equivariant Gal conjecture. The pair $(\operatorname{Cox}(W),W)$ exhibit…