Jun 7 – 9, 2017
SISSA
Europe/Rome timezone

Almost periodicity of Stokes matrices of Quantum Cohomology of Grassmannians

Jun 9, 2017, 2:15 PM
25m
005 (SISSA)

005

SISSA

via Bonomea 265, 34100, Trieste, Italy

Speaker

Mr Giordano Cotti (Scuola Internazionale Superiore di Studi Avanzati (SISSA))

Description

Work in progress, joint with B. Dubrovin and D. Guzzetti. Quantum cohomology is a fundamental tool for the description of the enumerative geometry of smooth projective varieties, and more general symplectic manifolds. An intriguing conjecture relates Quantum Cohomology of a Fano manifold $X$ of Hodge-Tate type with the geometry of the derived category of coherent sheaves $\mathcal D^b(X)$. In this seminar I will present a property of almost periodicity of Stokes matrices associated to the points of small Quantum Cohomology of complex Grassmannians, and I will discuss the “mirror counterpart” in terms of exceptional objects in their derived categories.

Primary author

Mr Giordano Cotti (Scuola Internazionale Superiore di Studi Avanzati (SISSA))

Presentation materials

There are no materials yet.