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UID:2021042202081520210412T15000020210412T1550006080da8f6707e@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20210421T081814
DTSTART:20210412T150000
DTEND:20210412T155000
SUMMARY:Algebraic Geometry Seminar: Brill--Noether theory over the Hurwitz space, by Hannah Larson
DESCRIPTION:Hannah Larson (Stanford University): Brill--Noether theory over the Hurwitz space Let C be a curve of genus g. A fundamental problem in the theory 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 theory. However, in nature, curves C are often encountered already equipped with a map to some projective space, 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 over 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 and Isabel Vogt that completes such a picture, by proving analogs of all of the main theorems of Brill--Noether theory in this setting. Please click here to make changes to, or delete, this seminar announcement.
LOCATION:Zoom Chicago IL
CLASS:PRIVATE
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