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比利时vs摩洛哥足彩 ,
university of california san diego

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special colloquium

mathew hedden

massachusetts institute of technology

symplectic geometry and invariants for low-dimensional topology

abstract:

over the past few years, ideas from symplectic geometry have had a major impact on low-dimensional topology. some of the most impressive results stem from a set of invariants developed by ozsvath and szabo. though defined using symplectic geometry, they turn out to be surprisingly powerful invariants of low-dimensional objects e.g. knots, and three- and four-manifolds. in this talk, i will survey these invariants and discuss how i have used them to prove results related to knot theory, complex curves, surgery theory in dimension three, and the theory of foliations and contact structures on three-manifolds.

host: jim lin

january 11, 2008

1:00 pm

ap&m 6402

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