Next talk: Joe Cummings, University of Notre Dame
March 14, 10:30, B485: Joe Cummings, University of Notre Dame
Title: Smooth connectivity in real algebraic varieties
Abstract:
A standard question in real algebraic geometry is to compute the
number of connected components of a real algebraic variety. By adapting a
Morse-theoretic approach for determining connectivity in complements of
real hypersurfaces by Hong, Rohal, Safey El Din, and Schost, I will present
algorithms for computing the number of connected components, the Euler
characteristic, and deciding the connectivity between two points for a
smooth manifold arising as the complement of a real hypersurface of a real
algebraic variety. As well as going over the theoretical underpinnings of
our algorithm, this talk will include many illustrative examples.
This was a joint project with Jonathan Hauenstein, Hoon Hong, and Clifford
Smyth.
Link to this page