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Symplectic fillings of virtually overtwisted torus bundles

Geometry/Topology

Speaker: Austin Christian, UCLA
Related Webpage: https://www.math.ucla.edu/~archristian/index.html
Location: 3106 MSB
Start time: Tue, Oct 8 2019, 1:30PM

A classical problem in contact geometry asks us to classify the symplectic manifolds which fill a given contact manifold. For virtually overtwisted torus bundles over S^1, we use Menke's JSJ-type decomposition to reduce this classification to the same problem for lens spaces. This leads to a complete classification in the elliptic and parabolic cases.