Français
Hodge-GUE Correspondence
Multi angle
Authors : Yang, Di (Author of the conference)
CIRM (Publisher )
37K10 - Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)
53D45 - Gromov-Witten invariants - quantum cohomology - Frobenius manifolds
15B52 - Random matrices
CIRM (Publisher )
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Abstract :
An explicit relationship between certain cubic Hodge integrals on the Deligne–Mumford moduli space of stable algebraic curves and connected GUE correlators of even valencies, called the Hodge–GUE correspondence, was recently discovered. In this talk, we prove this correspondence by using the Virasoro constraints and by deriving the Dubrovin–Zhang loop equation. The talk is based on a series of joint work with Boris Dubrovin, Si-Qi Liu and Youjin Zhang.
MSC Codes : 37K10 - Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)
53D45 - Gromov-Witten invariants - quantum cohomology - Frobenius manifolds
15B52 - Random matrices
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 09/05/2019 Conference Date : 09/04/2019 Subseries : Research talks arXiv category : Mathematical Physics ; Algebraic Geometry Mathematical Area(s) : Mathematical Physics ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:50:13 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-09_Yang.mp4 
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Information on the Event
Event Title : Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial DataEvent Organizers : Basor, Estelle ; Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara ; McLaughlin, Ken Dates : 08/04/2019 - 12/04/2019 Event Year : 2019 Event URL : https://www.chairejeanmorlet.com/2104.html
Citation Data
DOI : 10.24350/CIRM.V.19515903Cite this video as: Yang, Di (2019). Hodge-GUE Correspondence. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19515903 URI : http://dx.doi.org/10.24350/CIRM.V.19515903 |
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Bibliography
- DUBROVIN, Boris, LIU, Si-Qi, YANG, Di, et al. Hodge-GUE correspondence and the discrete KdV equation. arXiv preprint arXiv:1612.02333, 2016. - https://arxiv.org/abs/1612.02333
