Date: Monday, March 05, 2012
Location: 3866 East Hall (12:00 PM to 1:00 PM)
Title: Gauge theory takes over: Invariants of Knots and Links in 3-manifolds
Abstract: As computers have chugged away at classifying knots, the classical invariants (like the knot polynomials) have failed to distinguish more and more non-isomorphic knots. More recently these invariants have turned out to be coarse simplifications of much deeper invariants - namely they are the Euler characteristics of entire homology theories (some of which in turn seem to be part of an even deeper spectral sequence, though this is still poorly understood). These only started to be stumbled upon when knots could be related to 3-manifold invariants from gauge theory, so I will try to present these invariants from that perspective.
Speaker: Andrew Schaug
Institution: University of Michigan
Event Organizer: Will Abram stugeomtop@umich.edu
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