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SUMMARY:Baptiste Filoche - Wall-crossing of Instantons on the Blow-up
DTSTART:20260527T140000Z
DTEND:20260527T150000Z
DTSTAMP:20260531T034300Z
UID:indico-event-40023@indico.in2p3.fr
DESCRIPTION:Speakers: Baptiste Filoche (BIMSA\, Beijing)\n\n.\nAbstract: I
 nstanton partition functions provide an exact framework for computing non-
 perturbative corrections to the Seiberg–Witten prepotential in four-dime
 nsional supersymmetric gauge theories. Two key developments leading to the
  instanton partition function are Nekrasov’s localization formalism\, an
 d the recursive Nakajima–Yoshioka blow-up formula\, which relates the in
 stanton partition function on the blow-up of C^2 to the one on flat space.
  In this presentation\, I will review these results and discuss wall-cross
 ing phenomena arising from different stability conditions in the instanton
  moduli space on the blow-up. Using a contour-integral formulation based o
 n the Jeffrey–Kirwan residue prescription\, the chamber dependence of th
 e partition function can be characterized in terms of bipartite graphs and
  super-partitions. This formalism can then be used to provide an alternati
 ve derivation of the blow-up formula. This presentation is based on [2604.
 20674] in collaboration with Stefan Hohenegger and Taro Kimura.\nLink: Vis
 io\nAnLy: https://sites.google.com/view/anlystringsandfields\n \n \n\nht
 tps://indico.in2p3.fr/event/40023/
URL:https://indico.in2p3.fr/event/40023/
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