Mercoledì 2 Aprile 2025 alle ore 16:30, nel quadro del ciclo di seminari Insalate di Matematica, Alessandro Proserpio (Università di Glasgow) terrà il seguente intervento
Titolo: 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
Informazioni per partecipare
Il seminario si terrà in Aula 3014 (3° Piano) - Edificio U5, Università degli Studi di Milano-Bicocca e sarà possibile partecipare anche online da questo link (password: insalate, 46725283 from phones)
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