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Non-perturbative topological recursion and Weil-Petersson volumes
Multi angle
Authors : Gregori, Paolo (Author of the conference)
CIRM (Publisher )
14H70 - Relationships of algebraic curves with integrable systems
14N10 - Enumerative problems (combinatorial problems)
14H81 - Relationships with physics
CIRM (Publisher )
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Abstract :
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.
Keywords : Weil-Petersson volumes; topological recursion, resurgence
MSC Codes : Keywords : Weil-Petersson volumes; topological recursion, resurgence
14H70 - Relationships of algebraic curves with integrable systems
14N10 - Enumerative problems (combinatorial problems)
14H81 - Relationships with physics
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/10/2023 Conference Date : 05/10/2023 Subseries : Research talks arXiv category : High Energy Physics ; Mathematical Physics Mathematical Area(s) : Algebraic & Complex Geometry ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 01:01:36 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-10-05_Gregori_full.mp4 
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Information on the Event
Event Title : Probability and Geometry in, on and of non-Euclidian spaces / Probabilités et géométrie dans, sur et des espaces non-euclidiensEvent Organizers : Curien, Nicolas ; Garcia-Failde, Elba ; Petri, Bram ; Singh, Arvind Dates : 02/10/2023 - 06/10/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2897.html
Citation Data
DOI : 10.24350/CIRM.V.20099103Cite this video as: Gregori, Paolo (2023). Non-perturbative topological recursion and Weil-Petersson volumes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20099103 URI : http://dx.doi.org/10.24350/CIRM.V.20099103 |
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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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