Michel Waldschmidt

Slides

see also :

Directory pdf
Directory ppt
Available texts

List of available files of slides

Talks given from 2009 till now: see my agenda archives.
Recent or forthcoming talks: see my agenda.

December 20, 2009
Srinivasa Ramanujan   screen pdf: 3 Mo, 156 p.   print pdf: 2.5 Mo, 20 p.
    Pie Mathematics Association, Chennai (India).

November 30, 2009
From classical arithmetics to information science: some applications of abstract research (ppt: 3.2 Mo),
    Some recent results in mathematics related to modern technology   ppt 4,7 Mo, 171 p.   print pdf 4,1 Mo, 43 p..
        Islamabad, COMSATS Institute of Information Technology (CIIT) Department of Mathematics in the Faculty of Sciences and National University of Science and technology (NUST), School of Electrical Engineering and Computer Sciences (SEECS).

26 octobre 2009
Cryptographie: une introduction élémentaire   ppt 2,9 Mo, 81 p.   print pdf 2,9 Mo, 20 p.
    Exposé au Maths-Club de l'IREM, Université Paris Diderot, lundi 26 octobre 2009.
    Université des Sciences et de la Technologie Houari-Boumediène (USTHB), Alger, 8 juin 2009.

October 21, 2009
Algebra Seminar, Kyushu University, Japon. Autour de l'équation de Markoff (pdf: 6,3 Mo)

October 18, 2009
Schanuel's Conjecture and criteria for algebraic independence.   screen pdf 6 Mo, 111 p.   print pdf 5.7 Mo, 16 p.
    Two-day International Conference on Number Theory, October 17 - 18, 2009, Kinki University, Iizuka, Fukuoka (Japan).

October 16, 2009
Recent Diophantine results on zeta values: a survey   screen pdf: 7 Mo, 119 p.   print pdf: 6.7 Mo, 20 p.   Notes written by N.Hirata (14 p.)
    Analytic number theory and related topics, RIMS, Kyoto. Japan. Organizer : Hirofumi Tsumura.
        Department of Mathematics, Kyoto Univ.,

October 8, 2009
Criteria for irrationality, linear independence, transcendence, algebraic independence.   screen pdf: 4,7 Mo, 94 p.   print pdf: 4.4 Mo, 14 p.
    International conference on "Analytic Number Theory" ant2009, TIFR Tata Institute of Fundamental Research.
    Mumbai = Bombay (India).

25 septembre 2009
Questions arithmétiques soulevées par des lapins, des vaches et le Code da Vinci   ppt 8,9 Mo, 82 p   print pdf 6,8 Mo, 21 p.,
    Conférence CRM , Université Laval, Québec, Canada.

24 septembre 2009
Autour de l'équation de Markoff x^2+y^2+z^2=3xyz (pdf: 5,7 Mo),   screen pdf 5,8 Mo, 208 p.   print pdf 4,9 Mo, 25 p.
       Colloquium de Mathématiques, Département de mathématiques et de statistique, Université Laval, Québec (Canada).
        Exposé aussi donné au colloque de théorie des nombres de St Etienne le jeudi 5 juin 2008.
        version révisée de l'exposé précédemment donné à la Journées des doctorants en Mathématiques de la région Nord Pas de Calais, Wimereux, Lundi 31 mars 2008.
        Voir aussi mon cours de M1 du 23 janvier 2009: Équations Diophantiennes (pdf: 7,9 Mo).

August 5, 2009
Transcendental numbers: recent results and open problems (pdf: 3.9 Mo),
    Nombres transcendants: résultats récents et problèmes ouverts,
    Seventh Pan African Congress of Mathematicians (7th PACOM)
       Septième Congrès Pan Africain de Mathématiques (7è COPAM):
       Yamoussoukro (Côte d'Ivoire - Ivory Coats).

May 22, 2009
Schanuel's Conjecture and criteria for algebraic independence.   screen pdf 6 Mo, 111 p.   print pdf 5.7 Mo, 16 p.
    Taida Institute for Mathematical Sciences (TIMS),
       May 19 - 22, 2009, conference "Modular Forms and Function Field Arithmetic".

February 24, 2009
From classical arithmetics to information science: some applications of abstract research. (powerpoint ppt file, 3,2 Mo).
        Lahore University of Management Sciences (LUMS) under the programme French Science Tour in Pakistan of the French Embassy in Pakistan and the network of Alliances Françaises.
    Lecture also given (powerpoint ppt file, 4,7 Mo) (Zip file, 4,6 Mo, produces a ppt file of 7,2 Mo)
    at Pune and Guwahati, October 17 - November 10, 2007, under the programme French Science Today of the French Embassy in India and the network of Alliances Françaises.

January 22, 2009
Transcendental Number Theory: Schanuel's Conjecture.   screen pdf 6 Mo, 111 p.   print pdf 5.7 Mo, 16 p.
    Heidelberg Colloquium organized by the Institute for Mathematics.
    Transcendental Number Theory: Schanuel's Conjecture (pdf: 4.8 Mo),
    International Conference on Number Theory and Modular Forms, Srinivasa Ramanujan Center, SASTRA University, Kumbakonam (Tamil Nadu, India), December 21, 2008.

December 12, 2008
On the so-called Fermat-Pell equation     screen pdf: 3.2 Mo, 194 p.   print pdf: 1.2 Mo, 21 p.
       Institute of Mathematics and Applications, Bhubaneswar (Orissa, India), December 12, 2008

October 9, November 23 and December 4, 2008
Presentation of the CIMPA - Centre International de Mathématiques Pures et Appliquées (ppt: 8.9 Mo).
    Hawler (Erbil), Iraqi Kurdistan Region, October 9, 2008 (ppt file, 6,95 Mo pdf file, 6,8 Mo)
    Nepal: Department of Natural Sciences (Mathematics), School of Science, Kathmandu University, Kathmandu, November 23, 2008;
    Bhutan: Sherubtse College, Royal University of Bhutan, Kanglung, December 4, 2008.

October 6-13, 2008
Discrete mathematics and Diophantine analysis (pdf: 1.4 Mo),
    College of Science, Salahaddin University, Hawler (Erbil), Iraqi Kurdistan Region, October 9, 2008.
       CIMPA (ppt file, 6,95 Mo pdf file, 6,8 Mo)
       Data transmission, cryptography and arithmetic (ppt file, 5,26 Mo)
       An introduction to error correcting codes (ppt file, 3,78 Mo)
       Early history of irrationality and transcendence (pdf file, 4,33 Mo)
    Discrete mathematics and Diophantine analysis (pdf file, 1,67 Mo)
    On the so-called Pell-Fermat equation. (pdf file, 1,28 Mo)
        October 11, Sulaimani University, As Sulaymaniyah
        October 12, College of Science, Dohuk University, Duhok.

June 30 - July 11, 2008.
An introduction to irrationality and transcendence methods
       Summer school in analytic number theory and Diophantine Approximation, Fields Institute,
          Part 1: irrationality of some constants coming from analysis, (pdf 29 p., 288 Ko)
          Part 2: Historical introduction to transcendence, (pdf 13 p., 204 Ko)
          Part 3: Auxiliary functions in transcendence proofs (see above "The SASTRA Ramanujan Lectures").
    See also the previous AWS 2008: Special functions and Transcendence version:

May 29 - 5 juin, 2008,
On the Markoff equation x^2+y^2+z^2=3xyz.   screen pdf 4.2 Mo, 142 p.   print pdf 3.3 Mo, 17 p.
    International Conference on Algebra and Related Topics (ICART 2008), May 29, 2008, Bangkok, Thailand
Autour de l'équation de Markoff x^2+y^2+z^2=3xyz (fichier pdf, 5,7 Mo)
    Colloque de théorie des nombres, Jeudi 5 juin 2008, St Etienne.

20 mai 2008,
L'équation dite de Pell-Fermat x^2-dy^2=+- 1.
    Université Blaise Pascal, Clermont Ferrand, Séminaire de Mathématiques Pures.

27 mars 2008,
Périodes, selon Kontsevich et Zagier: questions de transcendance (fichier pdf: 63 pages, 4,6 Mo)
    Université d'Orléans, Faculté des Sciences, Département de Mathématiques,
    Laboratoire MAPMO (Mathématiques et Applications, Physique Mathématique d'Orléans),
    Colloquium de la Fédération Denis Poisson.

25 mars 2008,
La méthode de Charles Hermite en théorie des nombres transcendants (fichier pdf: 67 p., 6,8 Mo)
    Colloquium de l'Institut Élie Cartan, Université Henri Poincaré Nancy 1.

March 15-19, 2008,
An introduction to irrationality and transcendence methods.
    Arizona Winter School AWS 2008: Special functions and Transcendence, Tucson, Arizona (USA).
        Content
        Abstract and notation
        Lecture 1: Historical introduction to irrationality     Slides March 15, 2008;     video: part 1 and part 2.
        Lecture 2: Historical introduction to transcendence     Slides March 15, 2008;     video: part 1 and part 2.
        Lecture 3: Elliptic functions and transcendence     Slides March 16, 2008;     video: part 1 and part 2.
        Lecture 4: Auxiliary functions in transcendence proofs     Slides March 17, 2008;     video: part 1 and part 2.
        Lecture 5: Conjectures and open problems     Slides March 18, 2008.     video: part 1 and part 2.
    Projects by Chuangxun Cheng, Brian Dietel, Mathilde Herblot, Jingjing Huang, Holly Krieger, Diego Marques, Jonathan Mason , Martin Mereb and S. Robert Wilson, with the help of Georges Racinet.
        Project 1: exceptional sets and such See also the paper ( Algebraic Values of Transcendental Functions at Algebraic Points arXiv:0808.2766v2 [math.NT]. )
        Project 2: some consequences of Schanuel's Conjecture See also the paper ( Some consequences of Schanuel's Conjecture arXiv:0804.3550v2 [math.NT] )

7 mars 2008,
Les nombres pi et e^pi: irrationalité, transcendance, approximation diophantienne (fichier pdf, 9 Mo)
    Département de mathématique de l’université d’Angers, Colloquium.

7 février 2008
Codes correcteurs d'erreurs (en français):
    Jeux de cartes et de chapeaux, transmission de données et codes correcteurs d'erreurs (fichier powerpoint, 4 Mo).
        Université de Haute-Alsace, Séminaire Mulhousien de Mathématiques.
                Pour préparer cet exposé: quelques questions préliminaires.

January 4, 2008
Playing with cards and hats - data transmission and coding theory (powerpoint ppt file, 3.7 Mo).
    Institute Lecture, IIT Bombay.

October-November, 2007
Lecture on error correcting codes:
   
Some recent results in mathematics related to data transmission. (powerpoint ppt file, 5,6 Mo).
        October 17 - November 10, 2007, French Science Today, India.
                Slides of the lectures I gave on this topic in , Pune and Guwahati , October 17 - November 10, 2007.
        Lecture also given on December 5, 2007 for the students of the School of Information Security Engineering, Shanghai Jiao Tong University, China.

October 2007 - January 2008,
History of irrational and transcendental numbers (pdf file, 4,3 Mo).
    Colloquium Hyderabad Central University on October 25, 2007
    Kolkata, Indian Statistical Institute on October 29, 2007
    Institute of Science, Bangalore on November 6, 2007.
    School of Mathematics & System Science, Shandong University, China, on November 30, 2007.
        December 4, 2007, Lecture for the students of Shanghai High School (SHS), China, on History of irrational and transcendental numbers (pdf file, 4,9 Mo).
    Colloquium IIT Bombay , India on January 5, 2008.

23 avril 2007,
Genèse des méthodes de transcendance (fichier pdf, 3,4 Mo)
Colloquium de Mathématiques de l'Université Lyon I, Institut Camille Jordan - UMR 5208 du CNRS
Variante des exposés sur Questions d'irrationalité (et de transcendance): hier et aujourd'hui donné à Strasbourg le 23 mars 2007 et Irrationality and transcendence: early history and developments à Udine le 3 mai 2007.

8 janvier 2007,
Peut-on distinguer les nombres algébriques des nombres transcendants par leur développement? (transparents, pdf 35p., 404 Ko)
Colloquium de l'IRMAR, Université Rennes 1.
Version révisée de l'exposé de colloquium donné le 8 juin 2006:
Mots et transcendance (transparents, pdf 29p., 852 Ko)
Colloquium de l'Institut Fourier, Université de Grenoble.

December 21, 2006,
On the work of S.S. Pillai (slides, pdf, 42p., 468 Ko)
International Conference on "Number Theory and Combinatorics", Srinivasa Ramanujan Centre of SASTRA University, Kumbakonam, India.

December 19, 2006,
An introduction to Diophantine analysis and transcendental number theory (slides, pdf, 52.p, 416 Ko)
Pondicherry University.
(Similar talk also given at Indian Statistical Institute (ISI), Kolkata, India on November 23, 2006).

December 15, 2006,
Discrete mathematics and Diophantine Problems (slides, pdf, 32p., 424 Ko)
INTERNATIONAL CONFERENCE ON NUMBER THEORY AND RELATED TOPICS, Institute of Mathematics, Academy of Sciences, Hanoi, Vietnam.

November 2006.
From classical arithmetics to information science: some applications of abstract research (Zip file, 4,6 Mo, produces a ppt file of 7,2 Mo)
Slides of the lectures I gave at Indore, Bhopal, Chandigarh, Delhi, Ranchi, Kolkata and Chennai in November 2006, under the programme French Science Today of the French Embassy in India and the network of Alliances Françaises.

July 12, 2006,
Some arithmetic problems raised by rabbits, cows and the Da Vinci Code, Simon Fraser University, Vancouver, Canada, on Wednesday, July 12, 2006
    Lecture slide [ppt, PowerPoint file] ~ 15 Mo on the site of the Pacific Institute for the Mathematical Sciences (PIMS).

July 10, 2006.
Report on recent progress in Diophantine approximation (slides, pdf 28p., 476 Ko)
9th Canadian Number Theory conference (CNTA 9), Canadian Number Theory Association, University of British Columbia, Vancouver, British Columbia.

5 juillet 2006.
Approximation rationnelle de nombres réels (transparents, pdf 17p., 396 Ko)
Séminaire de théorie des nombres de l'Université Laval, Québec.

12 mai 2006.
Approximation diophantienne et applications (transparents, pdf 30p., 516 Ko)
Congrès International d'Algèbre, Théorie des Nombres et leurs applications, Faculté des Sciences d’Oujda les 11 et 12 mai 2006, Saïdia les 13 et 14 mai 2006, Maroc.

April 26, 2006.
Survey of some recent results on the complexity of expansions of algebraic numbers (slides, pdf 23p., 836 Ko)
Diophantine Approximation and Heights, ESI - Erwin Schrödinger Institute, Wien.

March 8, 2006.
Diophantine analysis and words (slides, pdf 28p., 1 Mo)
Keio University, Yokohama, Japan, March 7-10, 2006.
Conference on Diophantine Analysis and Related Fields 2006 in honor of Prof. Iekata Shiokawa.
March 7-10, 2006.

March 1, 2006.
Mathematics and information security (pdf 29 p., 12,5 Mo)
Shanghai Jiao Tong University, School of Information Security Engineering, Shanghai, China.

December 21, 2005.
On recent Diophantine results, (slides, pdf 17 p., 376 Ko; version for the proceedings, pdf 12 p., 150 Ko)
International Conference on Number Theory & Mathematical Physics, Srinivasa Ramanujan Centre, Shanmugha Arts, Science, Technology & Research Academy (SASTRA) Deemed University, Kumbakonam, Tamil Nadu, India, December 20-21, 2005.

December 17, 2005.
The role of complex conjugation in transcendental number theory (pdf 18 p., 400 Ko).
DION 2005 An International Conference on DIOPHANTINE EQUATIONS in honour of Professor T.N. Shorey on his 60th Birthday (TATA INSTITUTE OF FUNDAMENTAL RESEARCH, Mumbai, India, December 16-20, 2005.)

December 13, 2005.
Mathematics in the real life: The Fibonacci Sequence and the Golden Number (pdf 12 p., 19 Mo),
Nehru Science Center, Mumbai, India, conference organized by Alliance Française de Bombay,
followed by
Narayana cows (powerpoint 49 p., 1.3 Mo), musique de Tom Johnson, interprétée par Daniel Kientzy.
Annonce: Impressions, Alliance Française de Bombay, Déc. 2005, No 88, p.9.

December 12, 2005.
An introduction to Ramanujan's mathematics (pdf; full version 79p., 6.3 Mo; Version to print: 6p., 170 Ko)
Jaihind under-graduate College, Churchgate (Mumbai).

23 novembre 2005. Méthodes diophantienne et algorithmes effectifs (pdf 6p., 152 Ko)
Colloque sur "Algèbre commutative - Codes correcteurs et Cryptographie" organisé par le Réseau Africain de Géométrie et Algèbre Appliquées au Développement à l' Université de Bamako (Mali) du 18 au 25 novembre 2005.

November 7, 2005.
CIMPA: Centre International de Mathématiques Pures et Appliquées - International Center of Pure and Applied Mathematics (ppt 35p., 2,7 Mo)
Lecture at the University of Nairobi.

July 23, 2005
The Role of Mathematics in the Development of Developing Countries (ppt 5,3 Mo)
Math House of Neishabour (Iran)

7 juillet 2005.
Recherches en arithmétique: est-ce vraiment bien utile? (ppt 3,6 Mo)
XXIVth Journées Arithmétiques de Marseille, 4 au 8 juillet 2005.

February 28, 2005.
Multiple zeta values (pdf 94p., 80 Ko. Version imprimable: pdf 10p., 325 Ko)
Kempner Colloquium of the Department of Mathematics, University of Colorado at Boulder.

February 21, 2005.
Elliptic functions and transcendence (pdf 73 p.) (Abstract)
The University of Florida Mathematics Department, Special Year in Number Theory and Combinatorics 2004-05 with the support of the France-Florida Research Institute (FFRI).

15 mars 2004.
Périodes, d'après M. Kontsevich et D. Zagier (pdf 101p.)
Colloque de la Société Mathématique de Tunisie, Mahdia, 15 au 18 mars 2004.

February 25 and March 2, 2004.
Transcendental Number Theory: the State of the Art (pdf 84p.)
Korean Institute for Advanced Study, Séoul.

January 9, 2004.
Transcendental Number Theory: Recent Results and Conjectures (pdf 90p.)
"Days of Mathematics", Oulu, January 8-9, 2004.

December 22, 2003.
Recent developments of Ramanujan's work (pdf 74p.)
Inaugural address, 14th International Conference of Jangjeon Mathematical Society, Mysore, December 22-24,2003.

December 19, 2003.
Multiple Zeta Values (pdf 107p.)
Bangalore India/AMS Conference.

December 14, 2003.
New variations on the six exponentials theorem (pdf 64p.)
Number Theory Conference, Bangalore (India).

December 11, 2003.
Dependence of logarithms on commutative algebraic groups (pdf 45p.)
International Conference on Algebra and Number Theory, Hyderabad (India).

November 20, 2003.
Multiple Polylogarithms (pdf 104p.)
DESY Zeuthen/HU Berlin Theory Seminar.

October 30, 2003.
Hopf algebras and Diophantine problems (pdf 60p.)
Academia Sinica, Taipei.

October 29, 2003.
The four exponentials conjecture, the six exponentials theorem and related statements (pdf 56p.)
Number Theory Seminar at NCTS, Central University, Chung-Li (Jhung-Li), Taiwan.

October 7, 2003.
Dependence of logarithms on commutative algebraic groups (pdf 43p.)
Erwin Schrödinger Institute - Wolfgang Schmidt Conference
Wien (Austria) October 6-10, 2003.

August 31, 2003.
Transcendental numbers and functions of several variables (pdf 54p.)
34th Iranian Mathematics Conference IMC34
Department of Mathematics, Shahrood University of Technology, Aug. 30-Sep.02, 2003.

July 30, 2003.
Tijdeman's mathematical contributions related to transcendental numbers (pdf 75p.)
Symposium RTLX Leiden.

4 juillet 2003.
Algèbres de Hopf et Problèmes Diophantiens (pdf 92p.)
Deutsch-Französischer Diskurs, Saarland University.

25 juin 2003.
Algèbres de Hopf et Problèmes Diophantiens (pdf 29p.)
Séminaire de Théorie des Nombres de Grenoble.

December 8, 2002.
Algebraic Values of Analytic Functions (pdf 15p.)
Ottawa CMS Winter Meeting 2002.

24 avril 2002.
La conjecture abc et quelques unes de ses conséquences (pdf 15p.)
Colloquium, Université de Limoges.

April 6, 2001.
Open Diophantine Problems (pdf 15p.)
Conference on Hilbert's problems today, Pisa (Italia).

Further lectures on Multiple Polylogarithms and Multiple Zeta Values

Lectures at MathScience in October 2000, (+ Université de Cocody, Abidjan (Côte d'Ivoire) Février 2001)
See also the slides of my Chandigarh Lectures (pdf 18p.) in October 2K
as well as the slides of my lecture: Polylogarithms and multiple zeta values (pdf 13p.) (Réunion d'été de la Société Mathématique Canadienne, Saskatoon, 5 juin 2001)
and the text of the 6 lectures (pdf 23p.) given at the Franco-Taiwan Arithmetic Festival held at National Center for Theoretical Sciences (Hsinchu, Taiwan) in August 2001 (notes by Jiu-Kang Yu )
and the slides of my lecture in Graz on July 5, 2002. (pdf 37p.)
Pour un texte français sur ce thème: voir les transparents (pdf 40p.) de mon exposé aux 12èmes Rencontres Arithmétiques Caen le 29 juin 2001 et les notes de mon cours de troisième cycle de 2002.

A course on multizeta values, The Institute of Mathematical Sciences, Special year in number theory at IMSc, Chennai (India), April 2011.   (51 pages, updated March 2, 2017).

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