Quebec Mathematical Sciences Colloquium

September 30, 2016 from 16:00 to 18:00 (Montreal/EST time) On location

Notions of simplicity in low­-dimensions

Colloquium presented by Liam Watson (Université de Sherbrooke)

Various auxiliary structures arise naturally in low­dimensions. I will discuss three of these: left­orders on the fundamental group, taut foliations on three­manifolds, and non­trivial Floer homological invariants. Perhaps surprisingly, for (closed, connected, orientable, irreducible) three­manifolds, it has been conjectured that the existence of any one of these structures implies the others. I will describe what is currently known about this conjectural relationship, as well as some of the machinery — particularly in Heegaard Floer theory — that has been developed in pursuit of the conjecture.


UQAM, Pavillon Président-­Kennedy, 201, ave du Président-­Kennedy, room PK­5115