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SUMMARY:Postnikov stability for complexes - Ploog\, D (Leibniz)
DTSTART:20110407T103000Z
DTEND:20110407T113000Z
UID:TALK30585@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:There are several approaches for extending (semi)stability fro
 m sheaves to complexes\, or rather triangulated categories. In work with G
 eorg Hein (arXiv 0704.2512\, 0901.1554)\, we have introduced a notion of "
 Postnikov stability" for general triangulated categories\, the motivation 
 being Falting's observation that semistability of vector bundles on smooth
 \, projective curves is characterised by the existence of orthogonal sheav
 es. Our main result is that for projective varieties\, classical stability
  of sheaves can always be captured by an appropriate Postnikov stability.\
 n\nSome applications of this theory: compactifications of classical moduli
  spaces using genuine complexes\; a more conceptual look on questions arou
 nd "preservation of stability"\; answer to a conjecture of Friedman on sta
 ble sheaves on elliptic surfaces (the latter is Bernadara/Hein\, 1002.4986
 ).\n\n
LOCATION:Seminar Room 1\, Newton Institute
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