[Math-Phys Seminar] On the DR-DZ equivalence, and beyond

Xavier Blot (Unversiteit van Amsterdam)

On the DR-DZ equivalence, and beyond

Witten’s conjecture, proved by Kontsevich, predicted that the Gromov–Witten invariants of a point are governed by the KdV hierarchy. In this talk, I will explain how the DR–DZ equivalence extends this result by constructing the Dubrovin–Zhang (DZ) hierarchy, which governs the Gromov–Witten invariants of any smooth projective variety (and more generally, any cohomological field theory). I will also discuss the equivalence between the DZ and Double Ramification (DR) hierarchies, and, if time allows, their equivalence to new hierarchies associated with the Chiodo class.

This is based on joint works with Danilo Lewanski, Adrien Sauvaget and Sergey Shadrin.

2025/26 Winter Semester Mathematical physics seminars