Graduate Student Singularity Theory: Difference between revisions

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===Thu, 10/4: Suky===
===Thu, 10/4: Suky===
''Alexander polynomial of algebraic curve''
''Alexander polynomial of complex algebraic curve''


I will extend the definition of Alexander polynomial in knot theory to an complex algebraic curve.  
I will extend the definition of Alexander polynomial in knot theory to an complex algebraic curve.  

Revision as of 20:03, 1 October 2012

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 Tuesdays starting from 3:45pm in room 203VV, which is reserved until 5:30pm for further discussions.


Fall 2012

date speaker title
Sept. 18 KaiHo Wong Organization and Milnor fibration and Milnor Fiber
Sept. 25 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. 9 speaker title
Oct. 16 speaker title
Oct. 23 speaker title
Oct. 30 speaker title
Nov. 6 speaker title
Nov. 13 speaker title
Nov. 27 speaker title
Dec. 4 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.