Contribucions de Maryam Mirzakhani en geometria i dinàmica

Authors

  • Joana Cirici

Abstract

We will explore the world of Riemann surfaces, hyperbolic metrics, and geodesic curves to explore some of Maryam Mirzakhani's work that surprisingly combines concepts of dynamics and geometry. We will see how to count geodesics on surfaces using moduli spaces and how to address problems in billiard dynamics by studying geodesic curves on surfaces. We will also review some of Mirzakhani's latest discoveries, such as the Magic Wand Theorem, considered by some the theorem of the decade.

Published

2021-02-17

How to Cite

Cirici, J. (2021). Contribucions de Maryam Mirzakhani en geometria i dinàmica. Butlletí De La Societat Catalana De Matemàtiques, 35(2), 87–110. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/109248.003

Issue

Section

Articles