4 problems

Hecke-word Euler characteristic conjecture.

Relative codimension bound conjecture. Every component of $W^\tau(\pi,p,q)$ has codimension at most $\operatorname{inv}_k(\tau)$.

Larson–Larson–Vogt intersection-class conjecture. All statements of Larson–Larson–Vogt's Theorem 1.2 should generalize from splitting loci to transmission loci of a general point i…

Codimension bound conjecture. Every component of $W^\tau(C,p,q)$ has codimension at most $\operatorname{inv}_k(\tau)$.