“Hurwitz-Brill-Noether, K3 surfaces and stability conditions”
Giovedì 23 Aprile 2026, ore 13:15 - Aula 2AB40 - Andrés Rojas Gonzalez (Universitat de Barcelona)
Abstract
Whereas the geometry of Brill-Noether loci for general curves is described by a collection of theorems dating back to the 70s and 80s, Brill-Noether theory for curves of a fixed gonality k has not been understood until recent times. I will explain how, by using Bridgeland stability on K3 surfaces with an elliptic pencil, one can find the first known examples of k-gonal curves which behave generically from this “Hurwitz-Brill-Noether” perspective, establishing a parallel to Lazarsfeld’s remarkable proof of the Gieseker-Petri theorem.
This is a joint work with G. Farkas and S. Feyzbakhsh.
