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SUMMARY:Deformation Theory : an introduction to the algebraic approach - I
 II - Nitsure\, N (Tata Institute of Fundamental Research)
DTSTART:20110107T153000Z
DTEND:20110107T163000Z
UID:TALK28772@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This series of three lectures aims to give an introduction to 
 the algebraic approach to deformation theory\, as developed by Grothendiec
 k\, Schlessinger\, Illusie and Artin\, illustrated with a few key examples
 . The topics will include (i) infinitesimal theory over Artin local rings 
 including Schlessinger's theorem\, tangent-obstruction theories and use of
  cotangent complex\, (ii) algebraization via the Grothendieck existence th
 eorem for formal schemes and the Artin approximation theorem\, and (iii) c
 onstruction of global moduli as quotient algebraic spaces.
LOCATION:Seminar Room 1\, Newton Institute
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