3 papers
math.AG2026
Cetraro lectures on integrable systems and moduli spaces of curves
Alexandr Buryak, Paolo Rossi
In these lecture notes we review some constructions and results on the relation between topology of the moduli space of stable curves and integrable systems of evolutionary PDEs.
math-ph2025
Deformations of the Riemann hierarchy and the geometry of
Alexandr Buryak, Paolo Rossi
The Riemann hierarchy is the simplest example of rank one, (+)-dimensional integrable system of nonlinear evolutionary PDEs. It corresponds to the dispersionless limit of the…
math-ph2024
Bihamiltonian structure of the DR hierarchy in the semisimple case
Alexandr Buryak, Paolo Rossi
Of the two approaches to integrable systems associated to semisimple cohomological field theories (CohFTs), the one suggested by Dubrovin and Zhang and the more recent one using th…