Sponsored by Elizabethtown College, Franklin and Marshall College, Lebanon Valley College, and Millersville University
11 September Mahmoud Zeinalian, Long Island University 2 October James Hughes, Elizabethtown College 6 November David Futer, Temple University 4 December Barbara Nimershiem, Franklin and Marshall College, and Ron Umble, Millersville University 5 February Terrance Napier, Lehigh University 4 March Thomas Hunter, Swarthmore College 1 April David Lyons, Lebanon Valley CollegeTGTS is a regional mathematics seminar/colloquium. We meet at 4:30 p.m. on the first Friday of each month during the academic year (with some exceptions, as noted in the schedule above). The public is cordially invited to attend.
Date: 6 November 2015, 4:30pm Location: Hempfield High School, Room 213 Speaker: David Futer, Temple University Title: Effective hyperbolic geometry Abstract. Powerful theorems of Thurston, Perelman, and Mostow tell us that almost every 3-dimensional manifold admits a hyperbolic metric, and that this metric is unique. Thus, in principle, there is a 1-to-1 correspondence between a combinatorial description of a 3-manifold and its geometry. The existence of this 1-to-1 correspondence has been known, at least conjecturally, for over 30 years. On the other hand, only in the last few years have we begun to see the outlines of a concrete dictionary between combinatorial features and geometric measurements. I will survey some of what is known and unknown, paying special attention to the problem of estimating the volume of a knot complement in the 3-sphere.