TGiZ-Seminar: Tropical geometry in Zoom (Second meeting Summer Semester 2022)

Dave Jensen (University of Kentucky)

Abstract:
Brill-Noether theory is the study of line bundles on algebraic curves. A series of results in the 80’s describe the varieties parameterizing line bundles with given invariants on a sufficiently general curve. More recently, several mathematicians have turned their attention to the Brill-Noether theory of general covers — that is, curves that are general in the Hurwitz space rather than in the moduli space of curves. We will survey these recent results and, time permitting, some generalizations.