Date: Tuesday September 26, 2017
Speaker: Abhijit Champanerkar
Title: On Archimedean link complements
Abstract: We will discuss a paper by Aitchinson and Reeves in which
they study alternating links such that the complete hyperbolic metric
can be realised directly by pairwise identification of faces of two
ideal hyperbolic polyhedra.
Reference paper: "On Archimedean link complements" by Aitchinson and Reeves,
Journal of Knot Theory and Its Ramifications, Vol. 11, No. 6 (2002) 833-868
Date: Tuesday October 3, 2017
Speaker: Abhijit Champanerkar
Title: Regular and semi-regular links in the thickened torus
Abstract: Aitchison and Reeves studied alternating links in the
3-sphere for which the complete hyperbolic metric can be realised
directly by pairwise identification of faces of two ideal hyperbolic
polyhedra. They called such links completely realizable. They
described a large but finite family of completely realizable
alternating links, called Archimedean links. We show that many
infinite families of alternating links in the thickened torus are
completely realizable for a similar notion of a polyhedral
decomposition into torihedra. This is joint work with Ilya Kofman
and Jessica Purcell.
Reference paper: "Geometry of biperiodic alternating links" by
Abhijit Champanerkar, Ilya Kofman, and Jessica S. Purcell, preprint 2017.
Date: Tuesday October 10, 2017
Speaker: Daniel Berlyne
Title: Schwartz's rigidity theorem
Abstract: We will discuss Schwartz's rigidity theorem on quasi-isometries between lattices of isometries of hyperbolic n-space.
Reference paper:
Date: Tuesday October 17, 2017
Speaker: Alice Kwon
Title: Geodesic triangulations exists for cusped Platonic manifolds
Abstract :
Reference paper:
Date: Tuesday October 24, 2017
Speaker: Alice Kwon
Title: Geodesic ideal triangulations exist virtually
Abstract :
Reference paper:
Date: Tuesday October 31, 2017
Speaker: Alexander Stas
Title: Bipyramids and bounds on volumes of hyperbolic links
Abstract :
Reference paper:
Date: Tuesday November 7th, 2017
Speaker: Jacob Russell-Madonia
Title: Purely pseudo-Anosov subgroups of the mapping class group
Abstract :
Reference paper:
Date: Tuesday November 28, 2017
Speaker: Alexander Stas
Title: Volumes of N-Cusped Hyperbolic 3-Manifolds
Abstract :
Reference paper:
Date: Tuesday December 5, 2017
Speaker: Yu Hai
Title: Mostow Rigidity
Abstract :
Reference paper: