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SUMMARY:Quantum representations and higher-rank Prym varieties. - Johan Ma
 rtens (Edinburgh)
DTSTART:20170222T141500Z
DTEND:20170222T151500Z
UID:TALK69534@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:Riemann’s moduli space of curves can naturally be equipped w
 ith a range of bundles\, whose fibres are spaces of non-abelian theta func
 tions or\, equivalently\, spaces of conformal blocks.  These bundles come 
 naturally equipped with flat projective connections\, in many ways mirrori
 ng an old story for (abelian) theta functions\, who were classically known
  to satisfy a heat-equation.  In some aspects however the non-abelian thet
 a functions behave quite differently\, most clearly exhibited when conside
 ring the projective representations of the mapping class group they give r
 ise to.  For a few sporadic\, low-level versions this difference brakes do
 wn though\, a phenomenon best understood through strange duality.  In this
  talk we will describe the situation for rank 4\, where the situation gets
  clarified by thinking about higher-rank Prym varieties.  This is joint on
 going work with T. Baier\, M. Bolognesi and C. Pauly.\n
LOCATION:CMS MR13
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