Topology Seminar: Pascal Lambrechts

  • Date: 04/12/2012
  • Time: 14:00

Pascal Lambrechts




University of British Columbia


From the eversion of the sphere to spaces of knots


A famous result by Steven Smale states that we can turn the sphere
inside-out through immersions: this is called the eversion of the
sphere. We will explain this result and the strategy of its proof which
is a "cut-and-paste" strategy quite standard in algebraic topology. This
approach allows us to understand globally the space of all immersions
of a given manifold in another one, like the space of all immersion of
the sphere in R^3 in the case of Smale's eversion. This theory has been
enhanced by Goodwillie in the 1990's to understand spaces of embeddings.
We will explain how this can be applied to understand spaces of knots,
that is the spaces of all embeddings of a circle into a fixed euclidean

Other Information: 

Location: WMAX 216


For more information please visit UBC Math Department