FourierMukai transforms on elliptic fibrations
Jason Lo (Missouri, z.Z. MPI)  Seminar Algebraic Geometry (SAG)
What 


When 
May 22, 2014 from 10:30 am to 11:30 am 
Where  Bonn, HĂ¶rsaal MPI, Vivatsgasse 7 
Contact Name  sachinidis 
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In their 2002 JAG paper, BridgelandMaciocia laid out a few ideas for computing FourierMukai transforms for sheaves on elliptic threefolds, which allowed them to construct an isomorphism between two moduli spaces of stable sheaves. I will explain how their ideas can be developed into a toolchest for computing FourierMukai transforms on elliptic fibrations. On elliptic fibrations of any dimension, this toolchest can be used to embedd a moduli of complexes in a moduli of sheaves, as well as set up a 11 correspondence between line bundles and spectral sheaves.