BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Baptiste Filoche (BISMA\, Beijeing) DTSTART:20260527T140000Z DTEND:20260527T150000Z DTSTAMP:20260603T022701Z UID:AnLy/68 DESCRIPTION:Title: Wa ll-crossing of Instantons on the Blow-up\nby Baptiste Filoche (BISMA\, Beijeing) as part of AnLy Strings and Fields online seminars\n\n\nAbstrac t\nInstanton partition functions provide an exact framework for computing non-perturbative corrections to the Seiberg–Witten prepotential in four- dimensional supersymmetric gauge theories. Two key developments leading to the instanton partition function are Nekrasov’s localization formalism\ , and the recursive Nakajima–Yoshioka blow-up formula\, which relates th e instanton partition function on the blow-up of C^2 to the one on flat sp ace. In this presentation\, I will review these results and discuss wall-c rossing phenomena arising from different stability conditions in the insta nton moduli space on the blow-up. Using a contour-integral formulation bas ed on the Jeffrey–Kirwan residue prescription\, the chamber dependence o f the partition function can be characterized in terms of bipartite graphs and super-partitions. This formalism can then be used to provide an alter native derivation of the blow-up formula. This presentation is based on [2 604.20674] in collaboration with Stefan Hohenegger and Taro Kimura.\n LOCATION:https://researchseminars.org/talk/AnLy/68/ END:VEVENT END:VCALENDAR