| Tue, Oct 26, 2021
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Topology Seminar
3:00 PM
Virtual | | Circular orderings, 3-manifolds and covering spaces
Adam Clay, University of Manitoba
Host: Jonathan Johnson
Contact Neil Hoffman for seminar link.
| | | 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. |
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