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Ellipsitomic Associators
 
D. Calaque Institut Montpellierrain Alexander Grothendieck (IMAG), University of Montpellier, Montpellier, France
M. Gonzalez Institut de Recherche Technologique SystemX, Paliseau, France
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-981-4
Product Code:  SMFMEM/179
List Price: $57.00
AMS Member Price: $45.60
Not yet published - Preorder Now!
Expected availability date: June 09, 2024
Please note AMS points can not be used for this product
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Ellipsitomic Associators
D. Calaque Institut Montpellierrain Alexander Grothendieck (IMAG), University of Montpellier, Montpellier, France
M. Gonzalez Institut de Recherche Technologique SystemX, Paliseau, France
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-981-4
Product Code:  SMFMEM/179
List Price: $57.00
AMS Member Price: $45.60
Not yet published - Preorder Now!
Expected availability date: June 09, 2024
Please note AMS points can not be used for this product
  • Book Details
     
     
    Mémoires de la Société Mathématique de France
    Volume: 1792023; 96 pp
    MSC: Primary 18; 14; 20; 57; 32; 11

    The authors develop a notion of ellipsitomic associators by means of operad theory. They take this opportunity to review the operadic point of view on Drinfeld associators and to provide such an operadic approach for elliptic associators, too. They then show that ellipsitomic associators do exist, using the monodromy of the universal ellipsitomic KZB connection that they introduced in a previous work. They lastly relate the KZB ellipsitomic associators to certain Eisenstein series associated with congruence subgroups of \(\mathrm{SL}_{2}(\mathbb{Z})\), and to twisted elliptic multiple zeta values.

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

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    Review Copy – for publishers of book reviews
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Volume: 1792023; 96 pp
MSC: Primary 18; 14; 20; 57; 32; 11

The authors develop a notion of ellipsitomic associators by means of operad theory. They take this opportunity to review the operadic point of view on Drinfeld associators and to provide such an operadic approach for elliptic associators, too. They then show that ellipsitomic associators do exist, using the monodromy of the universal ellipsitomic KZB connection that they introduced in a previous work. They lastly relate the KZB ellipsitomic associators to certain Eisenstein series associated with congruence subgroups of \(\mathrm{SL}_{2}(\mathbb{Z})\), and to twisted elliptic multiple zeta values.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.