Title: Reduced Gromov-Witten invariants revisited

Abstract: Gromov-Witten invariants are related to counts of curves on X of genus g and class d, but they also encode degenerate contributions. By separating these contributions, one can hope to compute GW invariants recursively. This has been achieved in genus 1 and 2, starting with the celebrated Vakil-Zinger desingularization in genus 1. I will present a minimal construction of reduced GW invariants (i.e. invariants capturing only smoothable stable maps) of hypersurfaces in projective space obtained via a classical geometric construction and discuss the problems arising in separating the other contributions. This talk is based on arXiv:2310.06727, a work joint with A. Cobos-Rabano, E. Mann and C. Manolache.