Teichmüller Space, Polygonal Billiard, Interval Exchanges
February 13 – 17, 2017
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Dynamics in Teichmüller spaces is a subject that goes back to the work
of Thurston. For the past fifteen years, this field has grown considerably, with the contribution of many leading mathematicians. The outstanding recent work in rigidity of the horocycle flow, due to Eskin and Mirzakhani, is an absolutely fantastic advance that open new directions of research. This result was announced in 2012. Part of the current work uses their ideas to solve problems that were out of reach until then. »We the organizers of this conference affirm that scientific events must be open to everyone, regardless of race, sex, religion, national origin, sexual orientation, gender identity, disability, age, pregnancy, immigration status, or any other aspect of identity. We believe that such events must be supportive, inclusive, and safe environments for all participants. We believe that all participants are to be treated with dignity and respect. Discrimination and harassment cannot be tolerated. We are committed to ensuring that the conference TEICHMÜLLER SPACE, POLYGONAL BILLIARD, INTERVAL EXCHANGES follows these principles. For more information on the Statement of Inclusiveness, see this dedicated web page http://www.math.toronto.edu/~rafi/statement/index.html. »
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Scientific Committee & Organizing Committee
Jon Chaika (University of Utah) |
Jayadev Athreya (University of Washington) Siegel-Veech transforms are in L^2
Corentin Boissy (Université Paul Sabatier) Lengths spectrum of hyperelliptic components
Dawei Chen (Boston College) Principal boundary of strata of abelian differentials
Diana Davis (Williams College) Interval exchange transformations from tiling billiards
Alex Eskin (University of Chicago) Measure rigidity and orbit closures: a survey
Sébastien Ferenczi (Aix-Marseille Université) Rigidity for square tiled interval exchange transformations
Simion Filip (Harvard University & Aix-Marseille Université) How to make a K3 surface with paper, scissors, and glue
Giovanni Forni (University of Maryland) Limits of geodesic push-forwards of horocycle measures
Vaibhav Gadre (University of Glasgow) Random geodesics in moduli spaces
Elise Goujard (Université Paris-Sud) Equidistribution of square-tiled surfaces of fixed combinatorial type
Ursula Hamenstadt (University of Bonn) Simplicity of the Lyapunov spectrum revisited
Christopher Leininger (University of Illinois Urbana Champaign) Surface bundles over Teichmueller curves
Martin Moeller (Goethe University Frankfurt) Tropical curves and flat surfaces
Gabriele Mondello (« Sapienza » Università di Roma) Spherical metrics on conical surfaces
Angel Pardo (Aix-Marseille Université) Counting problem on wind-tree models
Luc Pirio (Université de Versailles) Moduli spaces of flat tori and elliptic hypergeometric functions (slides)
Kasra Rafi (University of Toronto) Unique ergodicity of geodesic flow in an infinite translation surface
Alexandra Skripchenko (Higher School of Economics, Moscow) Novikov’s problem: when interval exchange transformations are powerless (slides)
Alexander Wright (Stanford University & Aix-Marseille Université) Totally geodesic submanifolds of Teichmuller space and moduli space