Dear Topologists,

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.

https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09

Meeting ID: 945 2945 1960 Passcode: JSJDecomp

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.

Best,

Neil

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman