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Applications of tropical geometry to irreducibility problems in algebraic geometry
January 21 at 15:15 – 16:15 CET
TGiZ-Seminar: Tropical geometry in Zoom (First meeting Winter Semester 2021/22)
15:15-16:15 Ilya Tyomkin (Ben Gurion University)
In my talk, I will discuss a novel tropical approach to classical irreducibility problems of Severi varieties and of Hurwitz schemes. I will explain how to prove such irreducibility results by investigating the properties of tropicalizations of one-parameter families of curves and of the induced maps to the tropical moduli space of parametrized tropical curves. The talk is based on a series of joint works with Karl Christ and Xiang He.