3 problems

Let $D=0+1+\lambda+\infty$ on $\mathbb{P}^1$, and consider logarithmic graded semistable Higgs bundles on $(\mathbb{P}^1,D)$ whose underlying graded vector bundle is isomorphic to…

Conjecture 5. Given a preperiodic Higgs–de Rham flow as above, there exists a morphism $\sigma\colon\mathcal Y\to\mathcal X$ such that

Multiplication-by-p conjecture. The diagram commutes: