Mathematics Dept.
  Events
Columbia University
Wed 9 Jan 2019, 2:45pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
Exotic Structures on S^1 S^3 and the Chern-Simons Functional
ESB 4133 (PIMS Lounge)
Wed 9 Jan 2019, 2:45pm-10:00am

Abstract

 It is an open problem whether there exists an exotic smooth structure on S^1 × S^3. Motivated by this problem, Akbulut asked if there is a simply connected homology cobordism from a homology sphere with non-trivial Rochlin invariant to itself. The main progress toward this question was made by Taubes who used his celebrated technique of gauge theory on manifolds with periodic ends to give a negative answer to this question for various homology spheres including the Poincare homology sphere. In this talk, I will present a different technique which can be used to generalize Taubes' result in various directions. In particular, we address Akbulut's question for a family of Brieskorn homology spheres, which is not covered by Taubes' theorem. 
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University of Chicago
Wed 13 Feb 2019, 2:45pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
tba
ESB 4133 (PIMS Lounge)
Wed 13 Feb 2019, 2:45pm-3:45pm

Abstract

 
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Elden Elmanto
Wed 6 Mar 2019, 3:15pm
Topology and related seminars
Wed 6 Mar 2019, 3:15pm-4:15pm

Abstract

 
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Eric Hogle
Wed 13 Mar 2019, 2:45pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
ESB 4133 (PIMS Lounge)
Wed 13 Mar 2019, 2:45pm-3:45pm

Abstract

 
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