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Wednesday, April 17, 2019
2:30 PM - 3:30 PM
Linde Hall 187

Geometry and Topology Seminar

Dehn surgery and SU(2) representations
Steven Sivek, Department of Mathematics, Imperial College London,

A 3-manifold is said to be SU(2)-cyclic if every representation of its fundamental group into SU(2) has cyclic image. We will use this notion to discuss several questions about Dehn surgery. These include a proof, free of any gauge theory or Floer homology, that infinitely many 3-manifolds with weight-one fundamental group cannot be constructed by Dehn surgery on a knot in S^3; and the construction of one-cusped hyperbolic 3-manifolds that have many SU(2)-cyclic Dehn fillings. This is joint work with Raphael Zentner.

For more information, please contact Math Dept. by phone at 626-395-4335 or by email at mathinfo@caltech.edu.