Today we are very excited to have Adam Clay speaking with us. The seminar link is the same as last week (see below) and Adam's title and abstract are below.
Time: 3:00 PM (central)
Title: Virtual Circular orderings, 3-manifolds and covering spaces
Speaker: Adam Clay, University of Manitoba
Host: Jonathan Johnson
Abstract: The L-space conjecture states that for closed, orientable, irreducible 3-manifolds, the properties of being a Heegaard-Floer homology L-space, admitting a co-orientable taut foliation, and having a left-orderable fundamental group are equivalent.
Motivated by the left-orderability aspect of this conjecture, I'll introduce circular orderings of groups, and introduce a "circular orderability version" of the L-space conjecture that brings covering spaces into the picture. I'll also discuss several new
examples of fundamental groups of 3-manifolds that we know to be circularly orderable, ones that we know are not circularly orderable, and where to go from here. This talk represents joint work with Idrissa Ba.