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Modularity of the q-Pochhammer symbol and application

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Virtualconference
Authors : Drappeau, Sary (Author of the conference)
CIRM (Publisher )

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Abstract : 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

MSC Codes :
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

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 01/12/2020
    Conference Date : 27/11/2020
    Subseries : Research talks
    arXiv category : Number Theory
    Mathematical Area(s) : Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 00:51:40
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2020-11-27_Drappeau.mp4

Information on the Event

Event Title : Jean-Morlet Chair 2020 - Conference: Diophantine Problems, Determinism and Randomness / Chaire Jean-Morlet 2020 - Conférence : Problèmes diophantiens, déterminisme et aléatoire
Event Organizers : Rivat, Joël ; Tichy, Robert
Dates : 23/11/2020 - 27/11/2020
Event Year : 2020
Event URL : https://www.chairejeanmorlet.com/2256.html

Citation Data

DOI : 10.24350/CIRM.V.19686603
Cite this video as: 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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