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Real algebraic links in the 3-sphere associated with mixed polynomials


開催時期 2020-09-25 16:00~2020-09-25 17:00

場所 Zoomオンラインセミナー

受講対象  

講師 Eder Leandro Sánchez Quiceno (Kyushu University)

Kyushu University Topology Seminar will be held online with Zoom on September 25.
The abstract is found below.
It will be held on Zoom.
To join the seminar, please email to the following address.
tsutaya@math.kyushu-u.ac.jp
I will send the participants the information to join the Zoom meeting about 30 minutes before the talk.

We are also planning a small online drinking party after the seminar, which will start at 18:00.
If you are interested in it, feel free to join us!


Abstract:
Let f : \C^2 \to \C be a mixed polynomial, i.e., a complex polynomial of variables (u, \bar{u}, v, \bar{v}) such that f(0) = 0 and that f has an isolated singularity at the origin. Then, associated with f, we have the well-defined link, which is the intersection of the mixed hypersurface $f^{-1}(0)$ with a sphere of small radius. Such a link is called a real algebraic link. Classification and characterization of algebraic links are still open. In this talk, a new construction of families of algebraic links is discussed and how properties of mixed polynomials are used to generate such families is explained.