Our research deals with the three following main themes: combinatorics, number theory and discrete structures. We especially take care of interactions between these 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.
- 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.
- 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.
- 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.
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Boris Adamczewski |
+33 (0)472446273 |
(UCBL-Braconnier 103) |
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Gaelle Dejou |
+33 (0)472431186 |
(UCBL-Braconnier 207) |
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Eric Delaygue |
+33 (0)472431628 |
(UCBL-Braconnier 218) |
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Marc Deléglise |
+33 (0) |
(UCBL-Braconnier ) |
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Driss Essouabri |
+33 (0)477485138 |
(UJM-Metare C001) |
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Alain Faisant |
+33 (0)477481537 |
(UJM-Metare B 104) |
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Colin Faverjon |
+33 (0)472431194 |
(UCBL-Braconnier 226) |
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François Foucault |
+33 (0)477481537 |
(UJM-Metare B 104) |
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Solal Gaudin |
+33 (0)472431189 |
(UCBL-Braconnier 111B) |
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Georges Grekos |
+33 (0)477481532 |
(UJM-Metare B 104) |
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Laurent Habsieger |
+33 (0)472446243 |
(UCBL-Braconnier 107) |
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François Hennecart |
+33 (0)477481529 |
(UJM-Metare B 107) |
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Frédéric Jouhet |
+33 (0)472431628 |
(UCBL-Braconnier 218) |
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Isaac Konan |
+33 (0)472431260 |
(UCBL-Braconnier 225) |
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Bodo Lass |
+33 (0)472431904 |
(UCBL-Braconnier 220) |
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Elie Mosaki |
+33 (0)426234555 |
(UCBL-Braconnier 127) |
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Marc Munsch |
+33 (0)4........ |
(UJM-Métare B107) |
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Philippe Nadeau |
+33 (0)472431904 |
(UCBL-Braconnier 220) |
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Jean-Louis Nicolas |
+33 (0)472432765 |
(UCBL-Braconnier 249) |
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Filippo Nuccio |
+33 (0)477481569 |
(UJM-Metare 105) |
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Djamila Oudrar |
+33 (0)0472448556 |
(UCBL-Braconnier 116) |
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Federico Pellarin |
+33 (0)477481530 |
(UJM-Metare C 133) |
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Anthony Poels |
+33 (0)472431252 |
(UCBL-Braconnier 116) |
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Maurice Pouzet |
+33 (0)472448556 |
(UCBL-Braconnier 107 bis) |
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Olivier Robert |
+33 (0)477481537 |
(UJM-Metare B 107) |
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Xavier Roblot |
+33 (0)472431908 |
(UCBL-Braconnier 244) |
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Julien Roques |
+33 (0)472431629 |
(UCBL-Braconnier 104) |
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Bernard Roux |
+33 (0)472438838 |
(INSA-Vinci ) |
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Hamza Si Kaddour |
+33 (0)426234557 |
(UCBL-Braconnier 129) |
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Lara Thomas |
+33 (0)477481537 |
(UCBL-Braconnier B 104) |
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David Wahiche |
+33 (0)47....... |
(UCBL-Braconnier ...) |
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Chao Xu |
+33 (0)472431190 |
(UCBL-Braconnier 219) |
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Luca Zamboni |
+33 (0)426234552 |
(UCBL-Braconnier 123) |
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Jiang Zeng |
+33 (0)472431984 |
(UCBL-Braconnier 213) |
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Nombre de personnes : 34
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