Introduction to the Exceptional minimal set problem

par Prof. Julio Rebelo (IMT)

lundi 13 mars 2023, 10:30 → 12:00 Europe/Paris

Pelos (IMT)

The exceptional minimal set conjecture states that every leaf of a holomorphic foliation on the complex projective plane must accumulate at singular points. In this sense, the conjecture can be seen as an analogue of the well-known Poincare-Bendixson theorem on (real) vector fields defined on the sphere $S^2$. In this talk, we will discuss some general properties of these minimal sets, if they ever exist, and comment on some approaches that have been designed to prove the conjecture.