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SUMMARY:Towards a mathematical definition of Coulomb branches of  3-dimens
 ional N=4 gauge theories
DTSTART:20150325T131500
DTEND:20150325T150000
DTSTAMP:20261001T014151Z
UID:5ec3e2525d56b8bacae2bae0ccd7b0ef5b647f8a129f4e4bde07e1fa
CATEGORIES:Conferences - Seminars
DESCRIPTION:Hiraku Nakajima\, RIMS Kyoto\n(Note the unusual time and place
 )\nConsider the 3-dimensional N=4 supersymmetric gauge\ntheory associated 
 with a compact Lie group G and its quaternionic\nrepresentation  M. Physi
 cists study its Coulomb branch\, which\nis a noncompact hyper-Kähler mani
 fold\, such as instanton moduli\nspaces on R^4\, SU(2)-monopole moduli spa
 ces on R^3\, etc.\nIn this talk\, we propose two mathematical definitions 
 of the coordinate\nring of the Coulomb branch\, using a) the vanishing cyc
 le cohomology group\nof a certain moduli space for a gauged sigma-model on
  the 2-sphere\nassociated with (G\,M)\, and b) the Borel-Moore homology gr
 oup\nof a similar moduli space related with the affine Grassmannian of G.
LOCATION:CM09 http://plan.epfl.ch/?zoom=20&recenter_y=5864183.35306&recent
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STATUS:CONFIRMED
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