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SUMMARY:Universal geometric tensor categories - Daniel Schappi (University
  of Sheffield)
DTSTART:20150127T141500Z
DTEND:20150127T153000Z
UID:TALK57625@talks.cam.ac.uk
CONTACT:Dr Ignacio Lopez Franco
DESCRIPTION:Many objects in algebraic geometry have an associated tensor c
 ategory of\nquasi-coherent sheaves. This category contains rich informatio
 n about the\ngeometry of the object in question. In fact\, a large class o
 f objects can\nbe completely recovered from its category of coherent sheav
 es. This works\nparticularly well for Adams stacks (these include classica
 l geometric\nobjects such as projective varieties): for Adams stacks\, pas
 sage to the\ntensor category of quasi-coherent sheaves gives a 2-fully fai
 thful\npseudofunctor.\n\nIn my talk I will explain how the notion of a geo
 metric tensor category\ngives a characterization of the image of this pseu
 dofunctor\, and how we can\nconstruct universal geometric tensor categorie
 s.
LOCATION:MR5\, Centre for Mathematical Sciences
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