Speaker : Bidyut Sanki
Date : 10th June, 2014 (Tuesday)
Time : 09:15 pm – 10:15 pm
Venue : Lecture Hall I, Department of Mathematics
Abstract : It is a fact in hyperbolic geometry that, the union of closed geodesics on a closed hyperbolic surface is dense. The situation is quite different if one restrict one’s consideration to the simple closed geodesics: Birman and Series proved that the union of all simple (without self intersection) closed geodesics is a nowhere dense set. In this talk, we will prove that, there exists a positive real number depending only on the genus g, such that, any closed hyperbolic surface of genus g contains a disc of radius into which simple closed geodesics do not enter.