English
Modularity of the q-Pochhammer symbol and application
Virtualconference
Auteurs : Drappeau, Sary (Auteur de la Conférence)
CIRM (Editeur )
11B65 - "Binomial coefficients; factorials; $q$-identities, See also {05A10, 05A30}"
11F03 - Modular and automorphic functions
57M27 - Invariants of knots and 3-manifolds
60F05 - Central limit and other weak theorems
CIRM (Editeur )
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Résumé :
This talk will report on a work with S. Bettin (University of Genova) in which we obtained exact modularity relations for the q-Pochhammer symbol, which is a finite version of the Dedekind eta function. We will overview some of their useful aspects and applications, in particular to the value distribution of a certain knot invariants, the Kashaev invariants, constructed with q-Pochhammer symbols.
Keywords : q-Pochhammer symbol; dilogarithm; quantum knot invariants; modularity; limit law
Codes MSC : Keywords : q-Pochhammer symbol; dilogarithm; quantum knot invariants; modularity; limit law
11B65 - "Binomial coefficients; factorials; $q$-identities, See also {05A10, 05A30}"
11F03 - Modular and automorphic functions
57M27 - Invariants of knots and 3-manifolds
60F05 - Central limit and other weak theorems
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 01/12/2020 Date de captation : 27/11/2020 Sous collection : Research talks arXiv category : Number Theory Domaine : Number Theory Format : MP4 (.mp4) - HD Durée : 00:51:40 Audience : Researchers Download : https://videos.cirm-math.fr/2020-11-27_Drappeau.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean-Morlet Chair 2020 - Conference: Diophantine Problems, Determinism and Randomness / Chaire Jean-Morlet 2020 - Conférence : Problèmes diophantiens, déterminisme et aléatoireOrganisateurs de la rencontre : Rivat, Joël ; Tichy, Robert Dates : 23/11/2020 - 27/11/2020 Année de la rencontre : 2020 URL Congrès : https://www.chairejeanmorlet.com/2256.html
Données de citation
DOI : 10.24350/CIRM.V.19686603Citer cette vidéo: Drappeau, Sary (2020). Modularity of the q-Pochhammer symbol and application. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19686603 URI : http://dx.doi.org/10.24350/CIRM.V.19686603 |
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