Topological Recursion, x-y Duality & Applications (Alexander HOCK, UNIGE)

23.01.2026 14:00

Topological recursion (TR) is a universal recursive formalism that associates to a spectral curve an infinite family of multidifferentials on that curve. Its applications span a wide range of fields, including enumerative geometry, random matrix theory, topological string theory, quantum spectral curves, and conjecturally knot theory. Recently, a new fundamental duality within TR has been understood: the so-called x-y duality. This duality admits several incarnations across different applications of TR. In this talk, I will present this duality and explain how it extends the framework of TR for certain curves in C*. Furthermore, I will show how the x-y duality can be used to effectively compute string amplitudes (i.e., Gromov-Witten invariants) and quantum curves for specific mirror curves of toric Calabi-Yau threefolds.

Lieu

Conseil Général 7-9, Room 0-02, Séminaire Physique Mathématique

entrée libre