Friday, May 29, 2020 12:00 PM
The discussion for Maksym Fedorchuk’s talk is taking place not in zoom-chat, but at https://tinyurl.com/2020-05-29-mf  (and will be deleted after 3-7 days).
Maksym Fedorchuk (Boston College)

We introduce a notion of stability for varieties fibered over curves, motivated by Kollár's stability for homogeneous polynomials with integer coefficients.  We analyze geometric implications of stability for  fibrations whose fibers are complete intersections in weighted projective spaces.  As an application, we prove the existence of standard models of threefold degree one and two del Pezzo fibrations, settling a conjecture of Corti from 1996.  This is joint work with Hamid Ahmadinezhad and Igor Krylov.