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SUMMARY:Isabel Vogt (Brown University)
DTSTART:20211209T233000Z
DTEND:20211210T003000Z
DTSTAMP:20260422T055557Z
UID:SFUQNTAG/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/45/
 ">Brill--Noether Theory over the Hurwitz space</a>\nby Isabel Vogt (Brown 
 University) as part of SFU NT-AG seminar\n\n\nAbstract\nLet C be a curve o
 f genus g. A fundamental problem in the theory of algebraic curves is to u
 nderstand maps of C to projective space of dimension r of degree d. When t
 he curve C is general\, the moduli space of such maps is well-understood b
 y the main theorems of Brill--Noether theory.  However\, in nature\, curve
 s C are often encountered already equipped with a map to some projective s
 pace\, which may force them to be special in moduli.  The simplest case is
  when C is general among curves of fixed gonality.  Despite much study ove
 r the past three decades\, a similarly complete picture has proved elusive
  in this case. In this talk\, I will discuss joint work with Eric Larson a
 nd Hannah Larson that completes such a picture\, by proving analogs of all
  of the main theorems of Brill--Noether theory in this setting.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/45/
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