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Applications of tropical geometry to irreducibility problems in algebraic geometry

January 21 at 15:1516:15 CET

TGiZ-Seminar: Tropical geometry in Zoom (First meeting Winter Semester 2021/22)

15:15-16:15 Ilya Tyomkin (Ben Gurion University)

Abstract:
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.

Details

Date:
January 21
Time:
15:15 – 16:15 CET
Website:
https://www.uni-frankfurt.de/115627094/Lehre#a_79e0c850-94d78d12

Venue

Frankfurt and Zoom

Organizer

Martin Ulirsch