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SUMMARY:Monopoles on the product of a surface and the circle - Hurtubise\,
  J (McGill)
DTSTART:20110629T103000Z
DTEND:20110629T113000Z
UID:TALK31923@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:One of the important ingredients of the Witten-Kapustin approa
 ch to the geometric Langlands program is the study of singular monopoles o
 n the product of a Riemann surface and an interval\; these mediate Hecke t
 ransforms. One special case of this\, the self-transforms\, corresponds to
  monopoles on the product of a Riemann surface and a circle. We study the 
 moduli of these\, and prove a Hitchin-Kobayashi correspondence. When the s
 urface is a torus\, there is in addition an interesting Nahm transform to 
 instantons on the product of a three-torus and the line. (with Benoit Char
 bonneau).\n
LOCATION:Seminar Room 1\, Newton Institute
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