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 Fridays at 11:00am in room TBA.
Spring 2013
date | speaker | title |
---|---|---|
?? (?) | Jeff Poskin | Toric Varieties III |
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 of hypersurfaces with isolated singularities |
Nov. 29 (Thu) | Markus Banagl, University of Heidelberg | High-Dimensional Topological Field Theory, Automata Theory, and Exotic spheres |
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.