Quantitative Aspects of Translation Surfaces (3 of 3)- Jayadev Athreya

Conference Title: GEAR Junior Retreat 2012 Theme: Dynamics on Moduli Spaces (3 of 3) Title: Quantitative Aspects of Translation Surfaces (3 of 3) Speaker: Jayadev Athreya, Univ. of Illinois at Urbana-Champaign; Date and Time: Friday August 03, 09:00 Description: We'll study dynamics of the SL(2,R) action on moduli spaces of translation surfaces, and show how quantitative aspects of this dynamics can yield quantitative information about dynamics on individual translation surfaces, and in particular information for rational polygonal billiards. We will build on earlier work of Masur, Masur-Smillie, and Kerckho-Masur-Smillie, and try and discuss more recent work of Avila, Eskin, Gouezel, Forni, Masur, Yoccoz, Zorich, and others. Sponsor: GEAR Network Local host: UIUC Department of Mathematics Funding provided by: National Science Foundation Research Networks in Mathematical Sciences programAbstract: Prof. Jayadev Athreya, in this GEAR Junior Retreat 2012 mini-course on Dynamics on Moduli Spaces, will discuss dynamics of the SL(2,R) action on moduli spaces of translation surfaces, and rational polygonal billiards.