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Brill-Noether Theory over the Hurwitz Space
June 10 at 15:00 – 16:00 CEST
TGiZ-Seminar: Tropical geometry in Zoom (Second meeting Summer Semester 2022)
Dave Jensen (University of Kentucky)
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.