4 problems

Positivity conjecture for Faber-polynomial error norms. If $L$ has at least one corner with exterior angle different from $0$, $\pi$, and $2\pi$, then

Let a compact bordered Riemann surface have gonality equal to the least degree of a conformal map to the disc, and let $f_{a,b}$ denote an Ahlfors extremal function associated with…

Extremal entire-function conjecture. The function $F$ has the displayed form, where $\phi$ maps the upper half-plane onto the region in the upper half-plane above $\gamma$, satisfi…

Reversibility of chordal SLE with force points. After a time-change, the reversal of $(W(\beta(t)))$ has the same distribution as a chordal SLE$(\kappa;\rho_-,\rho_+)$ trace starte…