Wednesday 2 April 2025 at 4:30 pm, as part of the Insalate di Matematica seminar cycle, Alessandro Proserpio (University of Glasgow) will give the following talk
Title: Permutations of polynomial roots and flat coordinates of Frobenius manifolds
Abstract: A complex polynomial of given degree is completely specified by either its roots or its coefficients. Relations between the two are famously given by Viéta identities. Within the theory of Frobenius manifolds, these serve as a transition function between two distinguished coordinate systems. We discuss how this can be generalised to rational functions. In particular, it turns out that the Frobenius manifold structure on the space of some rational functions can be described from a suitable polynomial one, the additional information being encoded into polynomial invariants under the diagonal action of the symmetric group. This is based on a joint work with Ian Strachan.
Keywords: Frobenius manifolds, Landau-Ginzburg superpotentials, symmetric groups
Information to attend
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca and will also be available online by this link (password: insalate, 46725283 from phones)
For more information, visit the website