Homogeneous Flows, Moduli Spaces and Arithmetic

course: Interval exchange maps and translation surfaces

speaker: Jean-Christophe Yoccoz (Collège de France, CNRS)

abstract: The course will be on translation surfaces, interval exchange maps and Teichmuller flows. A list of contents may include (parts of) the following: Poligonal billiards and translation surfaces. Deformation of a translation surface by the action of GL(2,R). Dynamics of vertical vector fields and interval exchange maps. Suspension of interval exchange maps. Teichmuller flow. Moduli space of abelian differentials. Continued fraction algorithms for interval exchange maps. The cohomological equation for interval exchange maps. The cocycles of Zorich and of Kontsevich-Zorich and their spectral properties. Exponential mixing of the Teichmuller flow.

timetable:
Mon 11 Jun, 9:30 - 10:30, Aula Dini
Tue 12 Jun, 9:30 - 10:30, Aula Dini
Wed 13 Jun, 9:30 - 10:30, Aula Dini
Thu 14 Jun, 9:30 - 10:30, Aula Dini
Fri 15 Jun, 9:30 - 10:30, Aula Dini
Mon 18 Jun, 16:00 - 17:00, Aula Dini
Tue 19 Jun, 14:30 - 15:30, Aula Dini
Wed 20 Jun, 14:30 - 15:30, Aula Dini
Thu 21 Jun, 14:30 - 15:30, Aula Dini
Mon 25 Jun, 16:00 - 17:00, Aula Dini
Tue 26 Jun, 11:00 - 12:00, Aula Dini
Wed 27 Jun, 11:00 - 12:00, Aula Dini
Thu 28 Jun, 11:00 - 12:00, Aula Dini
Fri 29 Jun, 11:00 - 12:00, Aula Dini
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