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SUMMARY:Moduli spaces and elliptic difference equations - Rains\, EM (CALT
 ECH)
DTSTART:20090701T080000Z
DTEND:20090701T090000Z
UID:TALK18977@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Sakai's elliptic Painlev equation is constructed via the geome
 try of certain rational algebraic surfaces. I'll discuss joint work with A
 rinkin and Borodin in which we interpret Sakai's surfaces as moduli spaces
  of second-order linear elliptic difference equations (and related objects
 )\, such that the elliptic Painlev equation itself acts via isomonodromy t
 ransformations. The construction also lends itself to higher-order problem
 s\, and/or problems with more complicated singularity structure\; I'll dis
 cuss what is known about the corresponding higher-dimensional moduli space
 s. \n
LOCATION:Seminar Room 1\, Newton Institute
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