Non-perturbative topological recursion and Weil-Petersson volumes | Vidéo | Carmin.tv

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Non-perturbative topological recursion and Weil-Petersson volumes

By Paolo Gregori

Appears in collection : Probability and Geometry in, on and of non-Euclidian spaces / Probabilités et géométrie dans, sur et des espaces non-euclidiens

Mirzakhani's recursion for Weil-Petersson volumes was shown by Eynard and Orantin to be equivalent to Topological Recursion with a speciﬁc choice of spectral curve. However, such a recursion is known to produce formal power series with factorially growing coeﬃcient which, according to the theory of Resurgence, should be upgraded to “transseries” via the computation of non-perturbative contributions (i.e. instantons). In this talk I will show how a non-perturbative formulation of Topological Recursion allows for the computation of such contributions which, through simple resurgent relations, allow to obtain large genus asymptotics of Weil-Petersson volumes.

Information about the video

Date of recording 05/10/2023
Date of publication 23/10/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20099103
Cite this video Gregori, Paolo (05/10/2023). Non-perturbative topological recursion and Weil-Petersson volumes. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20099103
URL https://dx.doi.org/10.24350/CIRM.V.20099103

Domain(s)

Bibliography

EYNARD, Bertrand, GARCIA-FAILDE, Elba, GREGORI, Paolo, et al. Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion. arXiv preprint arXiv:2305.16940, 2023. - https://doi.org/10.48550/arXiv.2305.16940

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