Università degli Studi di Padova

“A friendly exploration of the (relative) regular Riemann-Hilbert correspondence”

Martedì 21 Ottobre 2025, ore 14:30 16:30 - Aula 2AB45 2AB40 - Luisa Fiorot (Dipartimento di Matematica “Tullio Levi-Civita”)

Abstract

The aim of this talk is to explore together the regular Riemann-Hilbert correspondence using a common geometric and algebraic language without specific prerequisites in algebraic analysis. We will start from Hilbert’s 21st problem (1900), move through the regular Riemann-Hilbert correspondence (1984), and conclude with the more advanced relative regular Riemann-Hilbert correspondence which is a joint work by L.Fiorot, T. Monteiro Fernandes, and C. Sabbah (2023), recently awarded the FSA in mathematics.

Main reference: L. Fiorot, T. Monteiro Fernandes and C. Sabbah, Relative regular Riemann-Hilbert correspondence II, Compositio Math., 159, (7),1413-1465, (2023).