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SUMMARY:Di Yang (University of Science and Technology of China)
DTSTART:20210402T080000Z
DTEND:20210402T090000Z
DTSTAMP:20260423T024519Z
UID:CGP-MP/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/4/">L
 oop equations and integrable hierarchies for special cubic Hodge integrals
 </a>\nby Di Yang (University of Science and Technology of China) as part o
 f IBS-CGP Mathematical Physics Seminar\n\n\nAbstract\nBy using the Virasor
 o constraints we derive the loop equations for the cubic Hodge partition f
 unction with three parameters p\,q\,r satisfying the Calabi-Yau condition 
 pq + qr + rp = 0. We then show that the Hodge integrable hierarchy associa
 ted to the special cubic Hodge integrals is normal Miura equivalent to the
  fractional Volterra hierarchy. In the procedure of the proof\, a particul
 ar tau-function for the fractional Volterra hierarchy is constructed\, whi
 ch we call the topological tau-function. Finally\, when one of the three p
 arameters p\,q\,r is equal to 1\, we prove a certain gap condition for the
  logarithm of the topological tau-function. The talk is based on joint wor
 ks with Si-Qi Liu\, Youjin Zhang and Chunhui Zhou.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/4/
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