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SUMMARY:Alexander Alexandrov (IBS CGP)
DTSTART:20210618T010000Z
DTEND:20210618T020000Z
DTSTAMP:20260423T024509Z
UID:CGP-MP/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/13/">
 KP integrability of triple Hodge integrals</a>\nby Alexander Alexandrov (I
 BS CGP) as part of IBS-CGP Mathematical Physics Seminar\n\n\nAbstract\nIn 
 my talk\, I will describe a relation between the Givental group of rank on
 e and the Heisenberg-Virasoro symmetry group of the KP integrable hierarch
 y. It appears that only a two-parameter family of the Givental operators c
 an be identified with elements of the Heisenberg-Virasoro symmetry group. 
 This family describes triple Hodge integrals satisfying the Calabi-Yau con
 dition. Using the identification of the elements of two groups it is possi
 ble to prove that the generating function of triple Hodge integrals satisf
 ying the Calabi-Yau condition and its $\\Theta$-version are tau-functions 
 of the KP hierarchy. This generalizes the result of Kazarian on KP integra
 bility in the case of linear Hodge integrals. I will also describe the rel
 ation of this family of tau-functions with the deformation of the Kontsevi
 ch matrix model. My talk is based on two papers\, arXiv:2009.01615 and arX
 iv:2009.10961.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/13/
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