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SUMMARY:Hannah Larson (Stanford University)
DTSTART:20200821T190000Z
DTEND:20200821T200000Z
DTSTAMP:20260407T214639Z
UID:agstanford/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 9/">Brill--Noether theory over the Hurwitz space</a>\nby Hannah Larson (St
 anford University) as part of Stanford algebraic geometry seminar\n\n\nAbs
 tract\nLet $C$ be a curve of genus $g$. A fundamental problem in the theor
 y of algebraic curves is to understand maps of $C$ to projective space of 
 dimension r of degree d. When the curve $C$ is general\, the moduli space 
 of such maps is well-understood by the main theorems of Brill-Noether theo
 ry.  However\, in nature\, curves $C$ are often encountered already equipp
 ed with a map to some projective space\, which may force them to be specia
 l in moduli.  The simplest case is when $C$ is general among curves of fix
 ed gonality.  Despite much study over the past three decades\, a similarly
  complete picture has proved elusive in this case. In this talk\, I will d
 iscuss recent joint work with Eric Larson and Isabel Vogt that completes s
 uch a picture\, by proving analogs of all of the main theorems of Brill--N
 oether theory in this setting.\n\nThe discussion for Hannah Larson’s tal
 k is taking place not in zoom-chat\, but at https://tinyurl.com/2020-08-21
 -hl (and will be deleted after 3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/19/
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