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SUMMARY:GAAG seminar - Derived category of coherent systems on curves and 
 its stability conditions
DTSTART:20260127T140000
DTEND:20260127T160000
DTSTAMP:20260428T153617Z
UID:7b6521ba17e35abf31dca92febd796f5189f41ac52008e99f82023dc
CATEGORIES:Conferences - Seminars
DESCRIPTION:Aliaksandra Novik (Imperial College)\nBridgeland stability con
 ditions on derived categories have become a powerful tool for extracting g
 eometric information about an underlying variety via wall-crossing phenome
 na. For a smooth irreducible complex projective curve C of genus greater t
 han 0\, Macrì showed that the space of stability conditions on D^b(C) is
  trivial up to the action of the universal covering of GL⁺(2\, R). As a 
 result\, there is no room to deform stability conditions and apply wall-cr
 ossing.\nIn this talk\, we present one way to resolve this issue by enlar
 ging the category from coherent sheaves on a curve to coherent systems. We
  introduce the derived category of coherent systems\, describe an open sub
 set of its stability manifold\, and show that it detects the Brill–Noeth
 er theory of the underlying curve. This is based on joint work with Soheyl
 a Feyzbakhsh.
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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