The University of Arizona
Please note that this event has ended!

Hurwitz-Brill-Noether Theory

Algebraic Geometry Seminar

Hurwitz-Brill-Noether Theory
Series: Algebraic Geometry Seminar
Location: ONLINE
Presenter: David Jensen, University of Kentucky

The geometry of an algebraic curve is governed by its linear systems. While many curves exhibit bizarre and pathological linear systems, the general curve does not. This is a consequence of the Brill-Noether Theorem, which says that the space of linear systems with given discrete invariants on a general curve has the expected dimension. In this talk, we will discuss a generalization of this theorem to curves that are general in the Hurwitz space, rather than in the moduli space of curves. This is joint work with Kaelin Cook-Powell.