Topology Seminar (Main Talk): The Weinstein conjecture for iterated planar contact structures

Seminar | November 15 | 4-5 p.m. | 3 Evans Hall

 Bahar Acu, Northwestern

 Department of Mathematics

The Weinstein conjecture asserts that the Reeb vector field of every contact form carries at least one closed orbit. The conjecture was proven for all closed 3-dimensional manifolds by Taubes. Despite considerable progress, it is still open in higher dimensions. In this talk, we will talk about its history and define notions of iterated planar contact manifolds and iterated planar Lefschetz fibrations to show that $(2n+1)$-dimensional iterated planar contact manifolds satisfy the Weinstein conjecture.