Séminaires : Séminaire Théorie des Nombres

Equipe(s) : fa, tn, tga,
Responsables :Kęstutis Česnavičius, Marc Hindry, Wieslawa Nizioł, Cathy Swaenepoel
Email des responsables : cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description

http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) Payman Eskandari - University of Winnipeg,
Titre Mixed motives and the Catalan constant
Date03/11/2025
Horaire14:00 à 15:00
Diffusion
Résume

The Catalan constant is the alternating sum of the reciprocals of the squares of odd positive integers ($1-1/9+1/25-\cdots$). In this talk, we will describe a geometric construction of a 2-dimensional mixed motive over the field of rational numbers that has the Catalan constant as a period. We will use this motive to obtain a supply of linear forms in 1 and the Catalan constant. We will also see how the coefficients of 1 and the Catalan constant in these linear forms can explicitly be calculated. The talk is based on a joint work with Kumar Murty and Yusuke Nemoto.

Salle1016
AdresseSophie Germain
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