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SUMMARY:Moduli in derived categories - Lieblich\, M (Washington)
DTSTART:20110505T100000Z
DTEND:20110505T110000Z
UID:TALK31145@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Classical moduli theory was born with a focus on objects we ca
 n easily see: varieties\, vector bundles\, morphisms\, etc.  In the last h
 alf-century\, we have come to perceive a slew of subtler invariants\, such
  as the derived category of coherent sheaves on a variety\, that are decid
 edly murkier.\n\nWithin the last decade\, moduli spaces of objects in the 
 derived category began to appear\, drawing inspiration from birational geo
 metry and mathematical physics. It turns out that a systematic approach to
  constructing these moduli spaces bears fruit in such disparate areas as G
 romov-Witten theory\, arithmetic geometry\, and non-commutative algebra. I
  will describe some aspects of these moduli problems and a few of their pr
 incipal applications.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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