GTC 2019 Speaker: Margaret Nichols

 

Title: Taut sutured handlebodies as twisted homology products
 

Abtract: We explore a method for certifying that a sutured manifold is taut, by showing that it is homologically simple - a so-called rational homology product. Most sutured manifolds do not have this form, but do always take the more general form of a twisted homology product, which incorporates a representation of the fundamental group. The question then becomes, how complicated of a representation is needed to realize a given sutured manifold as such?

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.