Topology Seminar (Introductory Talk): An introduction to translation surfaces

Seminar | October 28 | 2:10-3 p.m. | 740 Evans Hall

 Grace Work, UIUC

 Department of Mathematics

Translation surfaces arise naturally from the study of billiards in rational angled Euclidean polygons. We will explore this connection and provide three equivalent definitions of a translation surface. We will then focus on a specific class of translation surface, the Veech surface, and examine what makes them so special.