Seminar
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| Location: | SLMath: Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Totally Geodesic Surfaces In Twist Knot Complements
To attend this seminar, please register here: https://www.msri.org/seminars/25205
The study of surfaces has been essential in studying the geometry and topology of the 3-manifolds that contain them. In particular, there has been considerable work in understanding the existence of totally geodesic surfaces in hyperbolic 3-manifolds. Most recently, Bader, Fisher, Miller, and Stover showed that having infinitely many maximal totally geodesic surfaces implies that the 3-manifold is arithmetic. In this talk, we will present examples of infinitely many non-commensurable (non-arithmetic) hyperbolic 3-manifolds that contain exactly k totally geodesic surfaces for every positive integer k.
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Totally Geodesic Surfaces In Twist Knot Complements
| H.264 Video | 25248_28806_8506_Totally_Geodesic_Surfaces_in_Twist_Knot_Complements.mp4 |