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Slideshow

GTC 2019: Speaker: Cameron Gordon

 

Title: ADE links and cyclic branched covers

Abstract: The Dynkin diagrams of types A,D and E arise in many classification problems in mathematics. We conjecture a modest addition to this list: the fibered links that induce the standard tight contact structure on S3 and have some cyclic branched cover an L-space. We will discuss progress towards a proof of this conjecture. This is joint work with Michel Boileau and Steve Boyer.

GTC 2019: Speaker: Ying Hu

Title: Euler class and taut foliations on surgered 3-manifolds

Abstract. This talk is motivated by the conjecture: the fundamental group of a QHS is left-orderable if and only if it admits a co-orientable taut foliation. It is known that if the Euler class of the taut foliation vanishes, then the fundamental group is left-orderable. In this talk, we will investigate the Euler class of co-orientable taut foliations on 3- manifolds which are obtained by Dehn surgery along a null-homologous knot.

GTC 2019: Speaker Michael Landry

Title: Homology directions and veering triangulations

Abstract: The cone over a fibered face of a hyperbolic 3-manifold has a nice characterization as the dual of the so-called cone of homology directions of a certain pseudo-Anosov flow. We give a new characterization of this cone of homology directions in terms of Agols veering triangulations.

GTC 2019: Speaker: Liam Wilson

Title: Invariants of tangles from the Fukaya category of the 4-punctured sphere

Abstract: I will discuss a reinterpretation of Bar-Natans description of Khovanov homology in terms of immersed curves in the 4-punctured sphere. This point of view has some interesting algebraic consequences; the talk will focus on examples.

This is joint work with Artem Kotelskiy and Claudius Zibrowius.

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