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))