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SUMMARY:Klaus Altmann (FU Berlin)
DTSTART:20200625T090000Z
DTEND:20200625T100000Z
DTSTAMP:20260423T005801Z
UID:notts_ag/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/11/
 ">Displaying the cohomology of toric line bundles</a>\nby Klaus Altmann (F
 U Berlin) as part of Online Nottingham algebraic geometry seminar\n\n\nAbs
 tract\nLine bundles $L$ on projective toric varieties can be understood as
  formal differences $(\\Delta^+ − \\Delta^-)$ of convex polyhedra in the
  character lattice. We show how it is possible to use this language for un
 derstanding the cohomology of $L$ by studying the set-theoretic difference
  $(\\Delta^- \\setminus \\Delta^+)$. Moreover\, when interpreting these co
 homology groups as certain Ext-groups\, we demonstrate how the approach vi
 a $(\\Delta^-\\setminus \\Delta^+)$ leads to a direct description of the a
 ssociated extensions. The first part is joint work with Jarek Buczinski\, 
 Lars Kastner\, David Ploog\, and Anna-Lena Winz\; the second is work in pr
 ogress with Amelie Flatt.\n
LOCATION:https://researchseminars.org/talk/notts_ag/11/
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