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SUMMARY:John Kopper (Penn State)
DTSTART:20211023T190000Z
DTEND:20211023T192000Z
DTSTAMP:20260423T004756Z
UID:AGNES/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNES/7/">Am
 ple stable vector bundles on rational surfaces</a>\nby John Kopper (Penn S
 tate) as part of Algebraic Geometry NorthEastern Series (AGNES)\n\n\nAbstr
 act\nA theorem of Fulton says that ample vector bundles cannot be classifi
 ed numerically. However\, ampleness is open in families\, and so producing
  a single ample bundle typically implies the existence of many more. If a 
 bundle is both stable and ample\, then it has stable and ample deformation
 s. Le Potier suggests exploiting this fact and classifying those Chern cha
 racters for which the general stable bundle is ample (provided\, say\, the
  moduli space is irreducible). I will discuss recent progress on this prob
 lem on the minimal rational surfaces. I will give a complete classificatio
 n of those Chern characters for which the general stable bundle is both am
 ple and globally generated. I will also explain an "asymptotic" version of
  this result for bundles that aren't globally generated. This is joint wor
 k with Jack Huizenga.\n
LOCATION:https://researchseminars.org/talk/AGNES/7/
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