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Smooth projective fibrations over the projective line and their sections

January 31, 2025 @ 12:00 pm - 1:00 pm

Member Seminar

Speaker: Iacopo Brivio

Title: Smooth projective fibrations over the projective line and their sections

Abstract: Suppose $f\colon X\to \mathbf{CP}^1$ is a smooth projective fibration, is it then true that $f$ has a section? This deceptively simple result was established by Seidel and McDuff using deep methods of symplectic geometry. Alex Pieloch recently generalized this to morphisms with at most one singular fibers and furthermore showed that $X$ uniruled, that is covered by images of $\mathbf{P}^1$. In my talk I will explain how to recover Pieloch’s result from the Good Minimal Model Conjecture.

 

Details

Date:
January 31, 2025
Time:
12:00 pm - 1:00 pm
Event Category:

Venue

CMSA Room G10
CMSA, 20 Garden Street
Cambridge, MA 02138 United States
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Phone:
6174967132