# Veering Dehn surgery

 Geometric Structures on 3-manifolds Topic: Veering Dehn surgery Speaker: Saul Schleimer Affiliation: University of Warwick Date: Tuesday, April 12 Time/Room: 2:00pm - 3:00pm/S-101 Video Link: https://video.ias.edu/geostruct/2016/0412-Schleimer

(Joint with Henry Segerman.) It is a theorem of Moise that every three-manifold admits a triangulation, and thus infinitely many. Thus, it can be difficult to learn anything really interesting about the three-manifold from any given triangulation. Thurston introduced ideal triangulations'' for studying manifolds with torus boundary; Lackenby introduced taut ideal triangulations'' for studying the Thurston norm ball; Agol introduced veering triangulations'' for studying punctured surface bundles over the circle. Veering triangulations are very rigid; one current conjecture is that any fixed three-manifold admits only finitely many veering triangulations. After giving an overview of these ideas, we will introduce veering Dehn surgery''. We use this to give the first infinite families of veering triangulations with various interesting properties.