Algebraic combinatorics, resurgence, moulds and applications / Combinatoire algébrique, résurgence, moules et applications

Collection Algebraic combinatorics, resurgence, moulds and applications / Combinatoire algébrique, résurgence, moules et applications

Organizer(s) Chapoton, Frédéric ; Fauvet, Frédéric ; Malvenuto, Claudia ; Thibon, Jean-Yves

Date(s) 26/06/2017 - 30/06/2017

linked URL http://conferences.cirm-math.fr/1599.html

00:00:00 / 00:00:00

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Quantum geometry and resurgent perturbative/nonperturbative relations

By Gerald Dunne

Certain quantum spectral problems have the remarkable property that the formal perturbative series for the energy spectrum can be used to generate all other terms in the entire trans-series, in a completely constructive manner. I explain a geometric all-orders WKB approach to these perturbative/non-perturbative relations, which reveals surprising connections to number theory and modular forms.

Information about the video

Date of recording 27/06/2017
Date of publication 06/07/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19190303
Cite this video Dunne, Gerald (27/06/2017). Quantum geometry and resurgent perturbative/nonperturbative relations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19190303
URL https://dx.doi.org/10.24350/CIRM.V.19190303

Domain(s)

High Energy Physics

Bibliography

Basar, G., & Dunne, G.V. (2017). Quantum geometry of resurgent perturbative/nonperturbative relations. Journal of High Energy Physics, 2017(5), 87 p. - http://dx.doi.org/10.1007/JHEP05(2017)087

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