Colloque des sciences mathématiques du Québec

30 septembre 2016 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

Notions of simplicity in low­-dimensions

Colloque par 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, salle PK­5115