Tags: Conferences


GTC 2019: Speaker: Jennifer Schultens

  Title: Surface complexes of Seifert fibered spaces Abstract: Curve complexes of surfaces provide information about surfaces and 3-manifolds in a variety of ways. Building on the success of curve complexes, we define surface complexes for 3-manifolds. The surface complex naturally decomposes into subcomplexes called Kakimizu complexes. For Seifert fibered spaces the relation between the surface complex and its subcomplexes can be described…


GTC 2019: Speaker: Tao Li

Title: Genus 2 Heegaard splittings and Dehn surgery on tunnel number one knots Abstract: We generalize a theorem of Homma, Ochiai, and Takahashi, and discuss its relation with the Berge conjecture.


GTC 2019: Speaker: Steven Frankel

Title: TBA Abstract: TBA


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: Steve Boyer

Title : Cyclic branched covers and the L-space conjecture Abstract : We survey what is known about the L-space conjecture for manifolds obtained as cyclic branched covers of links in the 3-sphere and report, in particular, on joint work with Michel Boileau and Cameron Gordon and with Ying Hu.


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…


GTC 2019: Speaker: Maggy Tomova

Title: Distortion and the Bridge Distance of Knots Abstract: Distortion is a measure of the complexity of a knot that was first defined by Gromov. Pardon showed that the distortion of a knot is bounded below by a constant multiple of the representativity of the knot. We extend his techniques to show that there is a lower bound on the distortion of a knot proportional to the minimum of the bridge distance and the bridge number of the knot. We…


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.


GTC: 2019 : Speaker: Boyu Zhang

Title: Taut foliations and Seiberg-Witten invariants Abstract: The question of existence and flexibility of taut foliations on a three-manifold has been studied for decades. Kronheimer, Mrowka, Ozsvath, and Szabo obtained Floer-theoretic obstructions for the existence of taut foliations on rational homology spheres by considering its perturbation to contact structures. By showing that the perturbed contact structure is unique in many cases,…
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