Multiple cover formula, between decomposition and correlation

par Thomas Blomme (IMT)

jeudi 4 déc. 2025, 10:30 → 11:30 Europe/Paris

Abelian surfaces are complex tori whose enumerative invariants seem to satisfy remarkable regularity properties. The computation of their reduced Gromov-Witten invariants has already achieved in the case of primitive classes (Bryan-Oberdieck-Pandharipande-Yin). G. Oberdieck conjectured a few years ago a multiple cover formula expressing in a very simple way the invariants for the non-primitive classes in terms of the primitive one. This would close the computation of GW invariants for abelian surfaces. In this talk, we aim to explain the conjecture and how to prove most of it without being able to compute a Gromov-Witten invariant. This is joint work in progress with Francesca Carocci.