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The University of Michigan Student Geometry/Topology Seminar
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| January 21st | John MacKay (U of M) | K-Theory and Bott Periodicity |
| January 28th | Thomas M. Fiore (U of M) | Differential Operators and the Index Theorem |
| February 4th | Kyle Hofmann (U of M) | The Riemann Roch Theorem |
| February 11th | Hao Xing (U of M) | Clifford Algebras and the Dirac Operator |
| February 18th | Eric Zupunski (U of M) | Adam's Theorem and Periodicity |
| February 25th | No Meeting | Midwest Topology Seminar |
| March 4th | No Meeting | Vacation |
| March 11th | Dave Anderson (U of M) | Characteristic Classes |
| March 18th | No Meeting | |
| March 25th | No Meeting | |
| April 1st | No Meeting | |
| April 8th | No Meeting | |
| April 15th | Cagatay Kutluhan (U of M) | Floer Homology and Low Dimensional Topology (abstract) |
April 15th, Cagatay Kutluhan, Floer Homology and Low Dimensional Topology
The aim of the talk is to introduce the audience to the invariants for closed,
oriented 3-manifolds recently defined by Peter Ozsvath and Zoltan Szabo, namely
the Heegaard Floer Homology. The invariants assign a graded Abelian group to
each such manifold making use of the fact that every closed, oriented
3-manifold admits a Heegaard diagram, and using the Floer theory for Lagrangian
intersections in a symplectic manifold. During the talk I will try to give the
necessary definitions wherever we need them, but the main purpose is to make
the audience at least familiar with this recent development in low dimensional
topology.
People may read the following expository articles before the talk:
"Heegaard Diagrams and Holomorphic Disks" by Peter Ozsvath and Zoltan Szabo
"Floer Theory and Low Dimensional Topology" by Dusa McDuff