4 problems

The Betti moduli space $M_B$ parametrizes irreducible local systems on a punctured curve with prescribed central monodromy, while $M_{\mathrm{Dol}}$ is the corresponding Dolbeault…

Positivity conjecture. In the redundancy range,

Enumerative P=W conjecture. In the redundancy range, there exists a unique defect-homogeneous $F\in H^*(Z)$ with $\operatorname{def}(F)=2k-2$ such that, for every defect-homogeneou…

Let $C$ be an irreducible nonsingular projective curve of genus $g\geq 2$, let ${\mathcal M}_{\mathrm{Dol}}$ be its twisted Dolbeault moduli space with Hitchin fibration $h$, and l…