5 problems

Dicks–Ventura retract inertia conjecture for free groups
arXiv@arxiv
Dicks–Ventura conjecture. Every retract of $F_n$ is inert.
Conjectureopenfree-groups inertia retracts
0
Johnson's inertia conjecture for mixed determinant polynomials
arXiv@arxiv
Johnson's inertia conjecture. If $A$ is positive definite, then
Conjectureopeninertia matrix-analysis mixed-determinants
0
Random-graph inertia conjecture
arXiv@arxiv
Let $G$ be sampled from the binomial random graph $\mathbb G(n,\frac 12)$ , and let $A$ be a weighted adjacency matrix of $G$ . Write $n_{\geq 0}(A)$ for the number of non-negative e…
Conjectureopeninertia random-graphs spectral-graph-theory
0
The inertia–bicoloring conjecture for full-rank typical graphs
arXiv@arxiv
Let $G$ be a full-rank typical graph. A $G$ -partial matrix is a partial symmetric matrix whose specified off-diagonal entries correspond to the edges of $G$ ; it is minimally comple…
Conjectureopengraph-theory inertia matrix-completion
0
Inertia conjecture for fixed subgroups of surface groups
arXiv@arxiv
Surface-group inertia conjecture. The fixed subgroup $\mathrm{Fix}\,\mathcal{B}$ is inert in $G$ .
Conjectureopenfixed-subgroups inertia surface-groups
1

Dicks–Ventura retract inertia conjecture for free groups