Classification of Riemann surfaces

par Louis Dailly (IMT)

jeudi 15 mai 2025, 14:00 → 16:00 Europe/Paris

Johnson (1R3)

During the 19th century, the study of holomorphic functions led the mathematicians to the notion of Riemann surfaces, that are spaces on which we can define holomorphic functions. A natural question is classification : how can we distinguish two different Riemann surfaces and how many different ones are there ? The aim of this talk is to give some insights for classification of compact Riemann surfaces, especially the ones that have genus 1 (i.e the ones that topologically "look like donuts").