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DTSTART:20070311T020000
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DTSTAMP:20250910T191709
DTSTART;TZID=America/Detroit:20251001T153000
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SUMMARY:Workshop / Seminar:Algebraic Geometry Seminar: Brill-Noether theory of special curves
DESCRIPTION:Brill-Noether theory studies the maps of curves C to projective spaces. The classical Brill-Noether theorem (established by work of Eisenbud\, Fulton\, Geiseker\, Griffiths\, Harris\, Lazarsfeld) describes the geometry of this space of maps when C is a general curve. However\, the theorem fails for special curves\, notably curves that are already equipped with some unexpected map to a projective space. The first case of this is when C is a low-degree cover of the projective line. For general such covers\, the Hurwitz-Brill-Noether theorem (joint with E. Larson and I. Vogt) provides a suitable analogue. I'll also present recent results (joint with S. Vemulapalli) regarding the next natural case: when C is equipped with an embedding in the projective plane.
UID:137320-21880139@events.umich.edu
URL:https://events.umich.edu/event/137320
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4096
CONTACT:
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