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Title:
Two or infinity
Speaker:
Abstract:
It is conjectured that every Reeb flow on a closed three-manifold has either two, or infinitely many, simple periodic orbits. I will survey what is currently known about this conjecture. Then, I will try to explain some of the key ideas behind recent joint work proving it, as long as the associated contact structure has torsion Chern class. Then, I will state some related open questions.
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