Title: Reflection vectors, monodromy data and Dubrovin conjecture
Speaker: John Alexander Cruz Morales
Institution: Universidad Nacional de Colombia
Date & Time: November 13, 2024, 16:30–17:30
Location: Seminar Room 5, Mathematics Building, Jilin University
Using the notion of reflection vectors (which depend only on the second structure connection), I will demonstrate how to explicitly derive the Stokes and central connection matrices for a semisimple Frobenius manifold. In the context of quantum cohomology, I will discuss implications for the so-called Dubrovin conjecture, which relates the quantum cohomology of a (Fano) manifold to its bounded derived category of coherent sheaves. This is joint work with Todor Milanov.
John Alexander Cruz Morales is an associate professor at Universidad Nacional de Colombia. His research interests center on mirror symmetry and related areas, including derived categories, integrable systems, and representation theory.
