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BEGIN:VEVENT
SUMMARY:Carlos Simpson (CNRS\, Université Côte d'Azur)
DTSTART:20210610T180000Z
DTEND:20210610T185000Z
DTSTAMP:20260417T094837Z
UID:SimpsonFRGLectures/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SimpsonFRGLe
 ctures/1/">Moduli spaces of sheaves--an overview of the geography</a>\nby 
 Carlos Simpson (CNRS\, Université Côte d'Azur) as part of FRG lectures o
 n moduli spaces of sheaves on surfaces\n\n\nAbstract\nIn this first talk w
 e will look more globally at the properties of moduli spaces of vector bun
 dles and sheaves on various kinds of varieties\, then specializing to the 
 case of surfaces and in particular the case of rank 2 bundles on quintic h
 ypersurfaces in P^3.\n
LOCATION:https://researchseminars.org/talk/SimpsonFRGLectures/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlos Simpson (CNRS\, Université Côte d'Azur)
DTSTART:20210610T190000Z
DTEND:20210610T195000Z
DTSTAMP:20260417T094837Z
UID:SimpsonFRGLectures/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SimpsonFRGLe
 ctures/2/">Constructions and local properties: the Cayley-Bacharach condit
 ion</a>\nby Carlos Simpson (CNRS\, Université Côte d'Azur) as part of FR
 G lectures on moduli spaces of sheaves on surfaces\n\n\nAbstract\nIn the s
 econd talk\, we look at the Serre construction of rank 2 vector bundles us
 ing the Cayley-Bacharach condition on zero-dimensional subschemes. Topics 
 include the local deformation theory\, how it interacts with the Serre con
 struction\, and the interpretation of co-obstructions as Higgs fields.\n
LOCATION:https://researchseminars.org/talk/SimpsonFRGLectures/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlos Simpson (CNRS\, Université Côte d'Azur)
DTSTART:20210611T180000Z
DTEND:20210611T185000Z
DTSTAMP:20260417T094837Z
UID:SimpsonFRGLectures/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SimpsonFRGLe
 ctures/3/">Ascending induction and O'Grady's method</a>\nby Carlos Simpson
  (CNRS\, Université Côte d'Azur) as part of FRG lectures on moduli space
 s of sheaves on surfaces\n\n\nAbstract\nIn the third talk\, we introduce O
 'Grady's method of deforming to the boundary by creating deformations from
  bundles to torsion-free sheaves. Combining that with explicit constructio
 ns for low values of c_2\, we look at the implications for the how the col
 lection of moduli spaces fits together as c_2 increases.\n
LOCATION:https://researchseminars.org/talk/SimpsonFRGLectures/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlos Simpson (CNRS\, Université Côte d'Azur)
DTSTART:20210611T190000Z
DTEND:20210611T195000Z
DTSTAMP:20260417T094837Z
UID:SimpsonFRGLectures/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SimpsonFRGLe
 ctures/4/">Structure of the moduli spaces and their boundaries</a>\nby Car
 los Simpson (CNRS\, Université Côte d'Azur) as part of FRG lectures on m
 oduli spaces of sheaves on surfaces\n\n\nAbstract\nThe fourth talk combine
 s the previous strands to obtain the picture of the moduli spaces of rank 
 2 bundles and sheaves of odd degree on a quintic hypersurface. Further que
 stions are explored.\n
LOCATION:https://researchseminars.org/talk/SimpsonFRGLectures/4/
END:VEVENT
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