An invitation to Floer homology

When
Start: 10/12/2011 - 4:15pm
End  : 10/12/2011 - 5:15pm

Category
Colloquium

Speaker
Ko Honda (University of Southern California)

Abstract

This is a gentle introduction to Floer homology. ``Floer homology'' is a generic term for various homology theories of knots, 3- and 4-dimensional manifolds (aka spaces), symplectic manifolds, contact manifolds, etc., and has had an enormous impact in geometry/topology since its introduction by Floer more than twenty years ago. In this talk we start with a baby version of this theory called Morse homology, which gives a way to distinguish topological spaces (e.g., a sphere from the surface of a donut). We then build our way up to more recent theories such as contact homology and embedded contact homology.

About the speaker

Ko Honda received his B.A. and M.A. from Harvard University in 1992 and his Ph.D. from Princeton University in 1997. He was a recipient of a Sloan Fellowship, an NSF CAREER Award, the 2009 Geometry Prize of the Mathematical Society of Japan, and was an invited speaker at the International Congress of Mathematicians in 2006. He is interested in low-dimensional (i.e., 3- and 4-dimensional) topology, contact and symplectic geometry, and dynamical systems.

Where
Millikan Auditorium, Pomona College: entrance is on the north side of the Millikan patio (6th St. and College St.)

Misc. Information

Here is the PDF flyer for this talk. The dinner will be hosted by Prof. Stephan Garcia.

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