발표자 : Dr. Josh Southerland
일시 : 5월 11일 (목) 오후 4시 ~
장소: 고려대학교 아산이학관 524호 (또는 526호)
제목 :
Shrinking targets on translation surfaces
발표 개요:
In this talk, we will study a shrinking target problem for translation surfaces. We will show that the action of a subgroup of the Veech group of a square-tiled surface, a branched cover over the square torus, exhibits Diophantine properties. This generalizes the work of Finkelshtein, who studied a similar problem on the flat torus. We will also discuss ongoing work (joint with C. Judge) to develop a method for proving a shrinking target property for all translation surfaces, beginning with current progress on lattice surfaces via the use of an induced $SL_2\R$-action on a homogeneous bundle.