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SUMMARY:Ryo Ohkawa (Waseda U.)
DTSTART:20200501T070000Z
DTEND:20200501T075000Z
DTSTAMP:20260409T002812Z
UID:MC-NITOC/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MC-NITOC/1/"
 >(-2) blow-up formula</a>\nby Ryo Ohkawa (Waseda U.) as part of Math Collo
 quium at NITOC\n\n\nAbstract\nWe prove functional equations of Nekrasov pa
 rtition functions for $A_{1}$-singularity\, suggested by Ito-Maruyoshi-Oku
 da. Furthermore\, we want to propose (-2) blow-up formula. We consider the
  minimal resolution of $A_{1}$ singularity\, the quotient stack of the pla
 ne by $\\lbrace \\pm 1 \\rbrace$\, and moduli spaces of framed sheaves on 
 them. Our formulas relate integrals over these moduli spaces for some case
 s. Our proof is given by the method by Nakajima-Yoshioka based on the theo
 ry of wall-crossing formula developed by Mochizuki. The presentation will 
 be in Japanese (slides will be in English).\n\nThe password of this zoom t
 alk will be provided shortly before the talk in the colloquium web page ht
 tps://so-okada.github.io/nitoc-math-colloquium.html\n
LOCATION:https://researchseminars.org/talk/MC-NITOC/1/
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