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Brill-Noether Theory over the Hurwitz Space

June 10 at 15:0016:00 CEST

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.

Details

Date:
June 10
Time:
15:00 – 16:00 CEST
Website:
https://www.uni-frankfurt.de/115627094/Lehre#a_79e0c850-94d78d12

Venue

Frankfurt and Zoom

Organizers

Martin Ulirsch
Andreas Gross