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CNRS Université Claude Bernard Lyon 1 Université Jean Monnet - Saint-Etienne École Centrale de Lyon Institut National des Sciences Appliquées Université de Lyon

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INRIA - Inventeurs du monde numérique Labex Milyon Unité de mathématiques pures et appliquées

Accueil > Research teams

Combinatorics, Number Theory

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Our research deals with the three following main themes : combinatorics, number theory and discrete structures. We especially take care of interactions between these themes.

Presentation of the research themes

The research themes of the team can be divided into the following six main directions :

  • Automata, words combinatorics, arithmetic of special functions ;
  • (Enumerative, algebraic, analytic) combinatorics, special functions and their interactions ;
  • Graphs, orders, infinite combinatorics ;
  • Additive number theory, additive combinatorics, densities ;
  • Algebraic and algorithmic number theory, L functions, ultrametric analysis, Drinfeld modulus ;
  • Analytic number theory, zeta functions.

Activities, events

  • Working Seminar on Differential Galois Theory
    The aim of this theory is to understand differential equations with an algebraic point of view. More precisely, one can associate a group (the differential Galois group) to a linear differential equation, and this groups contains information on the algebraic relations between the solutions of this system. The aim of this working seminar is to first discover this domain through introductory lectures, without prerequisites. On Mondays, 2pm to 4pm, Room 112 (Braconnier building).
  • ICJ-ENS Arithmetic Seminar
    The invited speakers of this seminar talk about arithmetics, with a focus on arithmetic geometry, the study of Galois representations and related subjetcs. Every two weeks, on Thursdays, at ENS, Room 435.
  • ICJ-Fourier Number theory Seminar
    This seminar is co-organized by the number theory teams of Institut Camille Jordan (Lyon 1 University and Saint-Etienne University) and Institut Fourier (Grenoble Alpes University). Twice a year, one day with four talks, alternatively at Institut Fourier or Institut Camille Jordan.
  • Conference : Analogies between number field and function field : algebraic and analytic approaches
    In the arithmetic study of global fields in non-zero characteristic, several advances have been made by understanding analogies between number fields and function fields. With this conference, we would like to see the two worlds (that of the arithmetic over the rational integers and that of the arithmetic of the polynomial rings in one indeterminate over a finite field) interact along specific topics such as difference Galois theory, multi-zeta values and L-functions. The conference will includes five series of lectures given by specialists in these domains, and several talks. 27 June - 1st July 2016, Institut Camille Jordan.

Projets & Contracts

  • Multivariate Zeta functions and applications
    Project between CNRS and Japanese Society for Promotion of Science (JSPS). French head of the project : Driss Essouabri. Other ICJ members in the project : Filippo Nuccio, Federico Pellarin, Xavier Roblot
  • MZFTTA-Multivariate Zeta functions, Tauberian theorems and Applications
    Scientif cooperation between France and Latin America (MATH-AmSud). International Coordinator, and French head of the project with Brazil : Driss Essouabri.

Selected publications

  • B. Adamczewski, J. P. Bell. On vanishing coefficients of algebraic power series over fields of positive characteristic. Invent. Math. 187 (2012), no. 2, 343—393.
  • B. Lass. Mehler formulae for matching polynomials of graphs and independence polynomials of clawfree graphs. J. Combin. Theory Ser. B 102 (2012), no. 2, 411—423.
  • F. Pellarin. Values of certain L-series in positive characteristic. Ann. of Math. (2)176 (2012), no. 3, 2055—2093.
  • M. Barge, L. Q. Zamboni. Central sets and substitutive dynamical systems. Adv. Math. 248 (2013), 308—323.
  • C. Delaunay, E. Fricain, E. Mosaki, O. Robert. Zero-free regions for Dirichlet series.Trans. Amer. Math. Soc. 365 (2013), no. 6, 3227—3253.
  • D. Essouabri, B. Lichtin. Zeta functions of discrete self-similar sets. Adv. Math. 232 (2013), 142—187.
  • M. E. H. Ismail, A. Kasraoui, J. Zeng. Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials. J. Combin. Theory Ser. A 120 (2013), 561—599.
  • C. Delaunay, F. Jouhet. pl-torsion points in finite abelian groups and combinatorial identities. Adv. Math. 258 (2014), 13—45.
  • F. Pellarin. Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms. J. Reine Angew. Math. 687 (2014), 1—42.
  • B. Adamczewski, J. P. Bell. Diagonalization and rationalization of algebraic Laurent series, à paraître aux Ann. Sci. Éc. Norm. Supér., 49 pp.

Members


 
 Boris Adamczewski   +33 (0)472446273   (UCBL-Braconnier  103)    
 Riccardo Biagioli   +33 (0)472431088   (UCBL-Braconnier  223)    
 Simon Boyer   +33 (0)426234513   (UCBL-Braconnier  109E)    
 Maria Carrizosa   +33 (0)472448311   (UCBL-Braconnier  239)    
 Gaelle Dejou   +33 (0)472431186   (UCBL-Braconnier  207)    
 Eric Delaygue   +33 (0)472447701   (UCBL-Braconnier  234)    
 Marc Deléglise   +33 (0)   (UCBL-Braconnier  )    
 Thomas Dreyfus   +33 (0)472431252   (UCBL-Braconnier  225)    
 Theresia Eisenkoelbl   +33 (0)426234555   (UCBL-Braconnier  127)    
 Driss Essouabri   +33 (0)477485138   (UJM-Metare  C001)    
 Alain Faisant   +33 (0)477481537   (UJM-Metare  B 104)    
 Gwladys Fernandes   +33 (0)472431689   (UCBL-Braconnier  111A)    
 François Foucault   +33 (0)477481537   (UJM-Metare  B 104)    
 Georges Grekos   +33 (0)477481532   (UJM-Metare  B 104)    
 Laurent Habsieger   +33 (0)472446243   (UCBL-Braconnier  107)    
 Bin Han   +33 (0)472446219   (UCBL-Braconnier  243)    
 François Hennecart   +33 (0)477481529   (UJM-Metare  B 107)    
 Luisa Iturrioz   +33 (0)472448556   (UCBL-Braconnier  116)    
 Frédéric Jouhet   +33 (0)472431628   (UCBL-Braconnier  218)    
 Bodo Lass   +33 (0)472431904   (UCBL-Braconnier  220)    
 Elie Mosaki   +33 (0)426234555   (UCBL-Braconnier  127)    
 Philippe Nadeau   +33 (0)472431904   (UCBL-Braconnier  220)    
 Jean-Louis Nicolas   +33 (0)472431906   (UCBL-Braconnier  211)    
 Filippo Nuccio   +33 (0)477481569   (UJM-Metare  105)    
 Qiong Qiong Pan   +33 (0)472431374   (UCBL-Braconnier  100)    
 Olga Parshina   +33 (0)472431689   (UCBL-Braconnier  111A)    
 Federico Pellarin   +33 (0)477481530   (UJM-Metare  C 133)    
 Mickaël Postic   +33 (0)472431689   (UCBL-Braconnier  111A)    
 Maurice Pouzet   +33 (0)472448556   (UCBL-Braconnier  116)    
 Olivier Robert   +33 (0)477481537   (UJM-Metare  B 107)    
 Xavier Roblot   +33 (0)472431908   (UCBL-Braconnier  244)    
 Bernard Roux   +33 (0)472438838   (INSA-Vinci  )    
 Christoper Salinas   +33 (0)477481546   (UJM-Metare  Bureau des doctorants)    
 Hamza Si Kaddour   +33 (0)426234557   (UCBL-Braconnier  129)    
 Coline Wiatrowski   +33 (0)472431076   (UCBL-Braconnier  101 bis)    
 Caius Wojcik   +33 (0)472431689   (UCBL-Braconnier  111A)    
 Luca Zamboni   +33 (0)426234552   (UCBL-Braconnier  123)    
 Jiang Zeng   +33 (0)472431984   (UCBL-Braconnier  213)    

Nombre de personnes : 38
 

Contact

Head of the team : Federico Pellarin

Webmaster : Xavier Roblot

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