Mathematical Sciences Research Institute

Home » Workshop » Schedules » An introduction to flat surfaces - III

An introduction to flat surfaces - III

Introductory Workshop: Holomorphic Differentials in Mathematics and Physics August 19, 2019 - August 23, 2019

August 21, 2019 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Elise Goujard (Université de Bordeaux I)
Location: MSRI: Simons Auditorium
  • Flat surfaces

  • Teichmüller theory

  • moduli spaces

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



Holomorphic differentials equip naturally Riemann surfaces with a flat structure. Motivated by the study of billiards in polygons, I will review the geometry and dynamics of moduli spaces of flat surfaces: their statification, the GL(2,R) action, and the Teichmüller flow, and then focus on several invariants such as Masur-Veech volumes of strata, Siegel-Veech constants (related to the counting of closed geodesics), Lyapunov exponents, and their interconnection.

Supplements No Notes/Supplements Uploaded
Video/Audio Files


H.264 Video 895_27261_7875_10-Goujard.mp4
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath Videos page.