ERC Advanced Grant · 2023
Universality Phenomena in Geometry and Dynamics of Moduli spaces
Geometry and dynamics in the moduli spaces proved to be extremely efficient in the study of surface foliations, billiards in polygons and in mathematical models of statistical and solid state physics like Ehrenfest billiards or Novikov's problem on electron transport. Ideas of study of surface dynamics through geometry of moduli spaces originate in works of Thurston, Masur and Veech. The area is flourishing ever since. Contributions of Avila, Eskin, McMullen, Mirzakhani, Kontsevich, Okounkov, Yoccoz, to mention only Fields Medal and Breakthrough Prize winners, made geometry and dynamics in the moduli spaces one of the most active areas of modern mathematics. Moduli spaces of Riemann…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.