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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:Derived category of coherent systems on curves and its stability c
 onditions
DTSTART:20260127T140000
DTEND:20260127T160000
DTSTAMP:20260427T231353Z
UID:b389f5c18ea0cd5bdd58006b8f849fff26b5b1b30657a925c6acf5a6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Aliaksandra Novik (PhD student at Imperial College\, London)\n
 Bridgeland stability conditions on derived categories have become a powerf
 ul tool for extracting geometric information about an underlying variety v
 ia wall-crossing phenomena. For a smooth irreducible complex projective cu
 rve C of genus greater than 0\, Macrì showed that the space of stability 
 conditions on D^b(C) is trivial up to the action of the universal coverin
 g of GL⁺(2\, R). As a result\, there is no room to deform stability cond
 itions and apply wall-crossing.\n\nIn this talk\, we present one way to re
 solve this issue by enlarging the category from coherent sheaves on a cur
 ve to coherent systems. We introduce the derived category of coherent syst
 ems\, describe an open subset of its stability manifold\, and show that it
  detects the Brill–Noether theory of the underlying curve. This is based
  on joint work with Soheyla Feyzbakhsh.\n 
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