Colloquium abstracts

Sreekrishna Palaparthi
TIFR
October 26, 2009

Lengths of closed geodesics in a hyperbolic link complements in S3:  Colin Adams and Alan Reid showed that the length of the shortest closed geodesic in a hyperbolic knot or link complement in S3 is bounded above by 7.171646... We will show that the length of an nth shortest closed geodesic in a hyperbolic knot or link complement in S3 is at-most a logarithmic function of n.