Events

Brill--Noether theory studies the maps of general curves to projectivespaces. The embedding theorem of Eisenbud and Harris states that a general degree d map C to P^r is an embedding when r is at least 3. Hurwitz--Brill--Noether theory starts with a curve C already equipped with a fixed map C to P^1 (which often forces C to be special) and then studies the maps of C to other projective spaces. In this setting, the appropriate analogue of the invariants d and r is a finer invariant called the splitting type. Our embedding theorem determines the splitting types \vec{e} such that a general map of splitting type \vec{e} is an embedding. This is joint work with Kaelin Cook--Powel, Dave Jensen, Eric Larson, and Isabel Vogt.

tba