Smooth projective fibrations over the projective line and their sections
CMSA EVENTS: CMSA MEMBER SEMINAR
When: January 31, 2025
12:00 pm - 1:00 pm
Where: CMSA, 20 Garden St, Common Room
Address:
20 Garden Street, Cambridge 02138, United States
Speaker: Iacopo Brivio
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.
In-person and on Zoom:
Zoom ID 965 2902 1352
Passcode 322891