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SUMMARY:Gauge origami and Oh-Thomas  virtual cycles - Martijn Kool (Univer
 siteit Utrecht)
DTSTART:20240619T130000Z
DTEND:20240619T140000Z
UID:TALK217705@talks.cam.ac.uk
DESCRIPTION:Nekrasov's 4D ADHM quiver is a generalisation of the 2D and 3D
  ADHM quivers. I will give a mathematical definition of the corresponding 
 "gauge origami" partition function in terms of certain torus localized Oh-
 Thomas virtual cycles. I will relate the orientation problem of gauge orig
 ami to the one of Hilbert schemes of points on affine 4-space\, which was 
 previously analysed in physics by Nekrasov-Piazzalunga ("Magnificent Four"
 ) and in algebraic geometry in a joint work with J. Rennemo. I will provid
 e a conjectural sheaf-theoretic interpretation of gauge origami in terms o
 f certain moduli of 2-dimensional framed sheaves on (P^1)^4. Joint work in
  progress with N. Arbesfeld and W. Lim.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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