Graduate Student Singularity Theory
From Math
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. 8 (Thu) | KaiHo Wong | Euler characteristics and cohomology of hypersurfaces (complete intersection) |
Nov. 13 | speaker | title |
Nov. 27 | speaker | title |
Dec. 11 | 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.