Graduate Student Singularity Theory
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It is a weekly seminar by graduate students. Anyone is welcome. If you would like to present a topic, please contact Tommy Wong. All seminars are on eitehr Tuesdays or Thursdays at 3:55pm in room B203VV, which is reserved until 5:30pm for further discussions.
Fall 2012
| date | speaker | title |
|---|---|---|
| Sept. 18 (Tue) | KaiHo Wong | Organization and Milnor fibration and Milnor Fiber |
| Sept. 25 (Tue) | KaiHo Wong | Algebraic links and exotic spheres |
| Oct. 4 (Thu) | Yun Su (Suky) | Alexander polynomial of complex algebraic curve (Note the different day but same time and location) |
| Oct. 11 (Thu) | Yongqiang Liu | Sheaves and Hypercohomology |
| Oct. 18 (Thu) | Jeff Poskin | Toric Varieties II |
| Nov. 1 (Thu) | Yongqiang Liu | Mixed Hodge Structure |
| Nov. 15 (Thu) | KaiHo Wong | Euler characteristics and cohomology of hypersurfaces (complete intersection) |
| Nov. 29 | speaker | title |
Abstracts
Thu, 10/4: Suky
Alexander polynomial of complex algebraic curve
I will extend the definition of Alexander polynomial in knot theory to an complex algebraic curve. From the definition, it is clear that Alexander polynomial is an topological invariant for curves. I will explain how the topology of a curve control its Alexander polynomial, in terms of the factors. Calculations of some examples will be provided.