CORDIS Project
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This project investigates the geometry and dynamics of moduli spaces related to Riemann surfaces, focusing on their large genus asymptotic behavior. It aims to enhance understanding of these mathematical structures and their applications in enumerative geometry and statistical physics.
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, Yo…
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