21. Lie, Sophus (1842-1899) -- From Eric Weisstein's World Of Scientific Biography lie, sophus (18421899). Norwegian mathematician who collaborated with FelixKlein in the investigation of continuous groups, now known as lie groups. http://scienceworld.wolfram.com/biography/Lie.html

Branch of Science Mathematicians Nationality Norwegian Lie, Sophus (1842-1899) Norwegian mathematician who collaborated with Felix Klein in the investigation of continuous groups, now known as Lie groups He wrote a ponderous three volume treatise on transformation groups (1888-1893). He also discovered a contact transformation by which a sphere can be made to correspond to a straight line. Klein (Felix) Additional biographies: MacTutor (St. Andrews)

22. MODULAR FORMS AND THEIR APPLICATIONS A summer school for students in number theory, algebra and algebraic geometry. sophus lie Conference Center, Nordfjordeid, Norway; 1620 August 2004. http://www.math.uio.no/div/nordfjordeid/modular.html

SUMMER SCHOOL MODULAR FORMS AND THEIR APPLICATIONS 16.-20. August 2004 Sophus Lie Conference Center, Nordfjordeid, Norway Lecturers: Don Zagier (MPI, Bonn) Organizing committee: Sponsors: Program: The summer school is particularly aimed at students in number theory, algebra and algebraic geometry. The course will consist of three intertwined lecture series, "Elliptic modular forms and their applications" (Don Zagier) "Hilbert modular forms and their applications" (Jan Bruinier) "Siegel modular forms and their applications" (Gerard van der Geer) The first of these will treat the classical one-variable theory and some of its many applications in number theory (representations of numbers by quadratic forms, irrationality and transcendence results, moments of periodic functions, ...), algebraic geometry (counting of coverings of curves), and mathematical physics (appearance of modular forms in percolation theory, string theory, etc.) The second, which has a more geometric flavor, will give an introduction to the theory of Hilbert modular forms in two variables (i.e., over real quadratic fields), the geometry of Hilbert modular surfaces, and to Borcherds products and the Borcherds lifting. The third will give an introduction to Siegel modular forms (both scalar- and vector-valued) and present a beautiful application to the theory of curves of finite fields (Harder's conjecture).

23. Lie Biography of sophus lie (18421899) sophus lie s father was Johann Hermanlie, a Lutheran minister. His parents had six children and sophus was the http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Lie.html

Marius Sophus Lie Born: 17 Dec 1842 in Nordfjordeide, Norway Died: 18 Feb 1899 in Kristiania (now Oslo), Norway Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Sophus Lie 's father was Johann Herman Lie, a Lutheran minister. His parents had six children and Sophus was the youngest of the six. Sophus first attended school in the town of Moss, which is a port in south-eastern Norway, on the eastern side of the Oslo Fjord. In 1857 he entered Nissen's Private Latin School in Christiania (the city which became Kristiania, then Oslo in 1925) . While at this school he decided to take up a military career, but his eyesight was not sufficiently good so he gave up the idea and entered University of Christiania. At university Lie studied a broad science course. There was certainly some mathematics in this course, and Lie attended lectures by Sylow in 1862. Although not on the permanent staff, Sylow taught a course, substituting for Broch, in which he explained

24. Symplectic Geometry sophus lie Conference Centre, Nordfjordeid, Norway; 1115 June 2001. http://www.math.uio.no/nordfjordeid/symplectic.html

SUMMER SCHOOL SYMPLECTIC GEOMETRY 11.-15. June 2001 Sophus Lie Conference Center, Nordfjordeid, Norway Lecturers: Organizing committee: Sponsors: Participants Program: The school is particularly aimed at students in algebraic geometry. It consists of three series of lectures and exercise sessions. The first series will give the basic theory of holomorphic symplectic geometry in an algebro-geometric setting. A synopsis , with references to reading material of these lectures are available in pdf format. Huybrechts lecture notes are also available. The second one will treat Riemannian holonomy groups and calibrated geometry with a main focus on Kahler geometry and Calabi-Yau manifolds as well as special Lagrangian submanifolds. A synopsis , with references to reading material of these lectures are available in pdf format. The lectures are available in postscript The third series will treat the Calabi-Yau manifolds related to mirror symmetry. A synopsis , with references to reading material of these lectures are available in pdf format. The lectures themselves are available in postscript This summer school is organized in conjunction with the EAGER annual conference. Check the web site

25. National Academy Of Sciences - Deceased Member 3 Testing 1 .. 2 .. 3 Advanced Search. lie, sophus. Date of Birth,December 17, 1842. Elected to NAS, 1895. Date of Death, February 18, 1899. http://www4.nationalacademies.org/nas/nasdece.nsf/(urllinks)/NAS-58MUEK?opendocu

26. 'The Mathematician Sophus Lie' The mathematician sophus lie It was the audacity of my thinking sophus liesaid these words more than hundred years ago. We know now that he was right http://plus.maths.org/issue19/reviews/book3/

about Plus support Plus ... Plus search plus with google home latest issue explore the archive ... news Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Issue 19 Mar 2002 Contents Features Natural born mathematicians Maths in the dock An infinite series of surprises New designs from Africa Career interview Career interview: Statistical consulting Regulars Plus puzzle Pluschat Mystery mix Reviews 'Life's other secret' Two books about mathematical thinking 'The mathematician Sophus Lie' 'A Beautiful Mind' - film review ... posters! Mar 2002 Reviews 'The mathematician Sophus Lie' The mathematician Sophus Lie - It was the audacity of my thinking "I am certain, absolutely certain that...these theories will be recognized as fundamental at some point in the future." Sophus Lie said these words more than hundred years ago. We know now that he was right, absolutely right. The notions of "Lie groups" and "Lie algebras" are in the vocabulary of every mathematician and physicist today. Lie's theories are indispensable tools for understanding the physical laws of Nature. In this biography Arild Stubhaug tells the story of Lie's life. Born in 1842 in the western part of Norway, he enrolled at the Royal Fredrik's University of Christiania (now Oslo) in 1859. Lie was a hard-working student, to whom second or third best was a personal defeat, hardly to be endured. After graduating second in his class in 1865, he left university disappointed. He did not know what would become of him; he had not found his "calling".

27. Sophus Lie Conference Center sophus lie Conference Center for mathematics was established through a collaborationbetween the mathematical departments at NTNU in Trondheim and http://www.math.uio.no/nordfjordeid/nordfjord.html

Sophus Lie Conference Center Address and telephone Norwegian version Sophus Lie Conference Center for mathematics was established through a collaboration between the mathematical departments at NTNU in Trondheim and University of Oslo and Eid kommune. During the summer this will be a meetingplace for students, teachers and researchers, with different kinds of workshops and conferences. Anybody planning such events are encouraged to contact us. You find more details on the facilities at the center here Conferences 8. -12. August 2005 Summer school: Representation theory for finite groups Lecturers: Gunter Malle (Kassel), Jeremy Rickard (Bristol), Peter Webb (Minnesota) Summer school home page Past conferences Here are Dave Bayers pictures from Nordfjordeid. Travel information Nordfjordeid - in the middle of Norway Travelling times to Nordfjordeid from Oslo Bergen Trondheim Plane 90 min. 50 min. Bus Expressboat Coastal steamer Car A good general reference for tourist and travel information in the region of Nordfjordeid is http://www.nordfjord.no/

28. Sophus Lie Conference Center sophus lie Conference center is situated at Fjordane Folkeh¿gskule in Nordfjordeid.This is a boarding school whose facilities are taken over by the center http://www.math.uio.no/div/nordfjordeid/moreinfo.html

Sophus Lie Conference Center Address and telephone GENERAL INFORMATION ON THE CENTER Sophus Lie Conference center is situated at Fjordane Folkeh¿gskule in Nordfjordeid. This is a boarding school whose facilities are taken over by the center during the summer break. The school has 90 beds at the school. For additional accommodation there are several hotels and pensions in Nordfjordeid. At the school there are nine pavilions with 4 double rooms and 2 single rooms. The pavilions have common kitchen and bathroom facilities. All meals are prepared at the schools own kitchen, and they can serve up to 130 persons. Fjordane Folkeh¿gskule was built in 1975. It has an aulaen which takes 350 persons, with large blackboards and overhead screens. In addition the school has several classrooms for 30-40 persons and numerous smaller rooms. The school has computers with internet connection available to participants. Nordfjordeid is reachable by plane, bus and car. There are 4 daily flights from Oslo and Bergen, and 3 buses daily from Oslo and Bergen. It lies in one of the scenic fjords of western Norway, north of Bergen. The center has been the host of mathematical conferences and summer schools since 1993. Included among these are 2 Euroconferences sponsored by the European Commission through the HCM and TMR programs, namely -Europroj annual conference, June1995 (85 participants) -Conference on Von Neumann algebras and dynamical systems, August 1997 (120 participants). The accomodations are reasonably priced. for details get in touch at the above address.

29. Auteur - Lie, Sophus Translate this page lie, sophus lie, S. lie, Marius sophus Li, Sofus lie, sophus NEW YORK Chelsea publishing company , 1891, XIV-568 http://www.math.univ-rennes1.fr/bibli/catalogue/Auteur.htm?numrec=06198526891670

30. Read This: The Mathematician Sophus Lie Read This! The MAA Online book review column review of The MathematicianSophus lie It was the Audacity of My Thinking, by Arild Stubhaug. http://www.maa.org/reviews/audacity.html

Read This! The MAA Online book review column The Mathematician Sophus Lie: It was the Audacity of My Thinking by Arild Stubhaug Reviewed by Jeremy Gray Mathematically-inclined readers of this book should probably read it alongside Tom Hawkins' excellent book The Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869-1926 (New York: Springer-Verlag, 2000). That book is a masterly and thorough account of Lie's ideas, their original formulation, their immediate reception, and the way it became transformed into the theory of Lie groups and Lie algebras that plays such a central role in modern mathematics. This book is an equally thorough and masterly account of Lie's life. Like Stubhaug's previous book , on Abel, this one is handsomely printed, well illustrated, and exhaustively researched. Stubhaug has taken the bold decision to say almost nothing technical about Lie's mathematics. While this may well be right for his original Norwegian readership, because short accounts of what Lie did are notoriously obscure, this does mean that he never even explains that what Lie called a group is not a group in the modern sense at all. The book is written in sections that introduce various themes, themselves presented chronologically, which gives it a slightly repetitive feel that also has its virtues. The balance of the Norwegian matter, which is done is rich detail, to French and German matter, necessarily covered in less detail, is very well struck. The translation reads very well, and when German or French has been translated it is usually done well (I did wonder about the use of capitals, and some mathematical terms come across uncertainly). But it is a fine example of a biography of a mathematician. There are not enough of those, and there are many mathematicians to go round, so we can hope that others will come along with Stubhaug's energy and skill. For in these pages you may indeed meet, and enjoy the company of, the mathematician Sophus Lie.

31. Biog Lie Biography of sophus lie (18421899) sophus lie was born on December 17, 1842,in Nordfjordeid in Middle-Norway, where his farther was a protestant http://www.math.uit.no/seminar/Lie_biog.htm

Marius Sophus Lie Click to see a larger version My life is actually quite incomprehensible for me. As a young man, I had no idea that I was blessed with originality. Then, as a 26-year-old, I suddenly realized that I could create. I read a little and began to produce. In these years, 1869-1874, I had a lot of ideas which, in the course of time, I had developed only very imperfectly. In particular, it was group theory and its great importance for the differential equations which interested me. But publications in this area went woefully slow. I could not structure it properly, and I was always afraid of making mistakes. Not the small inessential mistakes... No, it was the deep-rooted errors I feared. I am glad that my group theory in its present state doesn't contain any fundamental errors. S. Lie S ophus Lie was born on December 17, 1842, in Nordfjordeid in Middle-Norway, where his farther was a protestant minister. He did equally well in all subjects and did not demonstrate any particular preference for mathematics while studying. S ophus Lie was taught mathematics at school by Ludvig Sylow and then attended Sylow's lectures on group theory at the University of Christiania from where he graduated in 1865 (not gaining a distinction). There followed a few years when he could not decide what career to follow. Maybe this was the reason that algebraic problems were at first alien to Lie and as was believed by his pupil Gerhard Kowalewski, Lie did not even seem to be particularly familiar with his famous countryman Abel's theories.

32. Seminar "Sophus Lie" In UITO sophus lie Seminar in Tromsoe HomePage. The seminar is named in honour ofsophus Marius lie and we would like to present you his short biography. http://www.math.uit.no/seminar/

Welcome to the Sophus Lie seminar at the University of Tromsoe! This seminar started in 1999. It is dedicated to the geometric theory of differential equations, quantization problems, noncommutative geometry and related subjects from analysis, applied mathematics, differential geometry and mathematical physics.. The seminar is named in honour of Sophus Marius Lie and we would like to present you his short biography Here is the seminar schedule . You can also get an impression of the seminar by our photo . We are always open for your questions-suggestions List of participants: Valentin Lychagin , professor, lychagin @ math.uit.no Einar Mjoelhus , professor, einarm @ math.uit.no Boris Kruglikov , professor, kruglikov @ math.uit.no Per Jakobsen , associate professor, perj @ math.uit.no Marius Overholt , associate professor, marius @ math.uit.no Tor Flaa, professor, tor @ math.uit.no Andrei Prasolov , professor, prasolov @ math.uit.no Olga Lychagina, post-doc, Olga.Lychagina @ matnat.uit.no Cathrine Vembre Jensen, phd, cath @ math.uit.no

33. Seminar Sophus Lie The next session of the Seminar sophus lie will take place in Metz on June 11and 12, 2004. Seminar sophus lie is a joint Seminar of a group of German http://www.math.tu-clausthal.de/~majhi/Seminare/SSLallg.html

Seminar Sophus Lie The next session of the Seminar Sophus Lie will take place in Metz on June 11 and 12, 2004

34. Seminar Sophus Lie, June 11-12, 2004 Seminaire sophus lie, June 1112, 2004. 1400-1450, Robert Wendt, Integralconjugacy classes of compact lie groups . 1500-1550, Victor Nistor, http://www.math.univ-metz.fr/~pasquale/SSL/SSL04.html

Colloque Seminar Sophus Lie June 11-12, 2004 de Metz Program Participants Registration Travel Information ... Contact Ile du Saulcy ISGMP, Batiment A 57045 METZ Cedex 01 FRANCE Organizing Committee: A. Pasquale, T. Wurzbacher Scientific Committee: B. Bekka, J. Ludwig, A. Pasquale, T. Wurzbacher Program Invited speakers: Jean Bellissard (Georgia Institute of Technology) Victor Nistor (Penn State University) Gestur Olafsson (Louisiana State University) Tudor Ratiu (EPF Lausanne) Robert Wendt (University of Toronto) Program: PS version PDF version Lectures: Coffee Breaks: Salle Marie Curie Friday, June 11: Welcome and opening Thomas Friedrich, "From symmetries to supersymmetries - geometric structures and type II string theory" Coffee/tea break Peter Heinzner,"The Cartan decomposition of the moment map" Lunch on campus Jean-Louis Clerc, "The Maslov index, old and new" abstract Coffee/tea break Andreas Juhl, "Families of conformally invariant operators" ( abstract Takaaki Nomura, "A characterization of symmetric tube domains by convexity of Cayley images" ( abstract Conference dinner: Saturday, June 12:

35. Journal Of Lie Theory: Editorial (The Journal of lie Theory was founded under the name of `Seminar sophus lie in1991, and continued as an international journal under the name of `Journal http://www.emis.de/journals/JLT/frontmatter.html

Journal of Lie Theory The first three volumes were published under the name of `Seminar Sophus Lie' (ISSN 0940-2268). (The Journal of Lie Theory was founded under the name of `Seminar Sophus Lie' in 1991, and continued as an international journal under the name of `Journal of Lie theory' in 1994.) Managing Editor and Deputy Managing Editor K.-H. Neeb and K. H. Hofmann (Darmstadt) Editors The complete addresses of all editors are listed here Aims and Scope Journal of Lie Theory is a journal for speedy publication of information in the following areas: Lie algebras, Lie groups, algebraic groups, and related types of topological groups such as locally compact and compact groups. Applications to representation theory, differential geometry, geometric control theory, theoretical physics, quantum groups are considered as well. The principal subject matter areas according to the Mathematics Subject Classification are 14Lxx, 17Bxx, 22Bxx, 22Cxx, 22Dxx, 22Exx, 53Cxx, 81Rxx. Journal of Lie Theory primarily publishes research articles. Survey articles on a topical area inside the scope of the journal will be considered. Only unpublished material will be accepted, and authors may not republish their contribution elsewhere. Once the paper is accepted, all rights related to the reproduction pass to Heldermann Verlag. Contributions to Journal of Lie Theory may be submitted in the form of a hard copy to any editor. Since the authors eventually provide the TeX-files from which the journal is produced, they should read the Instructions to Contributors carefully. The electronically submitted final version must have a format specified in the Instructions to the Authors.

36. Sophus Lie, Mathematician sophus lie, mathematician. lie was a Norwegian mathematician who invented continuousgroups, and also the algebras named after him. http://www.mth.kcl.ac.uk/~streater/lie.html

Sophus Lie, mathematician Lie was a Norwegian mathematician who invented continuous groups, and also the algebras named after him. His name is pronounced "Lee". Go to my HOME PAGE for more links.

37. BibScout - Lie, Sophus Translate this page sophus lie. - 2. corr. ed., repr. d. Ausg. Leipzig, 1896. - Bronx, NY ChelseaPubl., sophus lie. - Reprint d. Ausg. Stuttgart, Teubner, 1924-1960. http://titan.bsz-bw.de/bibscout/SA-SP/SF1000-SF9900/SF4840-SF5500/SF.5380

@import url(http://titan.bsz-bw.de/bibscout/ploneColumns.css); @import url(http://titan.bsz-bw.de/bibscout/plone.css); @import url(http://titan.bsz-bw.de/bibscout/ploneCustom.css); Skip to content. BibScout web bibscout Home Mathematik Gesammelte Werke Autoren L Lie, Sophus BibScout Home Allgemeines Arch¤ologie Biologie ... Autoren O Lie, Sophus Document Actions Regensburger Verbundklassifikation SF.5380 SF 5380 Geometrie der Berührungstransformationen / Sophus Lie. - 2. corr. ed., repr. d. Ausg. Leipzig, 1896. - Bronx, N.Y. : Chelsea Publ., 1977 Bibliotheken Fünfunddreissig Abhandlungen aus dem Nachlass Bibliotheken Anmerkungen zum 2. Bande Bibliotheken Geometrische Abhandlungen. 2. Abt., 2. Teil Bibliotheken Geometrische Abhandlungen. 2. Abt., 1. Teil - 1935 Bibliotheken Anmerkungen zum ersten Bande Bibliotheken Geometrische Abhandlungen : erste Abteilung Bibliotheken Anmerkungen zum vierten Band Bibliotheken Abhandlungen zur Theorie der Differentialgleichungen : zweite Abteilung Bibliotheken Anmerkungen zum sechsten Band Bibliotheken Abhandlungen über die Theorie der Transformationsgruppen : zweite Abteilung Bibliotheken Abhandlungen über d. Theorie d. Transformationsgruppen. Abt. 1

38. AllRefer.com - Marius Sophus Lie (Mathematics, Biography) - Encyclopedia AllRefer.com reference and encyclopedia resource provides complete informationon Marius sophus lie, Mathematics, Biographies. http://reference.allrefer.com/encyclopedia/L/Lie-Mari.html

AllRefer Channels :: Health Yellow Pages Reference Weather September 06, 2005 Medicine People Places History ... Maps Web AllRefer.com You are here : AllRefer.com Reference Encyclopedia Mathematics, Biographies ... Marius Sophus Lie By Alphabet : Encyclopedia A-Z L Marius Sophus Lie, Mathematics, Biographies Related Category: Mathematics, Biographies Marius Sophus Lie E oos s O E Pronunciation Key Topics that might be of interest to you: mathematics Related Categories: People Science and Technology Science and Technology Mathematics ... Biographies More articles from AllRefer Reference on Marius Sophus Lie SITE MAPS Encyclopedia US Gazetteer: US States A-C US States D-H US States I-L US States M ... Countries A-Z Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities. About Us Contact Us Privacy Links Directory ... Par Web Solutions Site best viewed in 800 x 600 resolution.

39. Biografia De Lie, Sophus sophus lie 2004/1The next meeting of Seminar sophus lie will be held shortly after Epiphany 2004, Karl H. Hofmann sophus lie s Third Fundamental Theorem and the Adjoint http://www.biografiasyvidas.com/biografia/l/lie.htm

Inicio Buscador Las figuras clave de la historia Reportajes Los protagonistas de la actualidad Lie, Sophus (Nordfjodreid, Noruega, 1842-Oslo, 1899) Matemático noruego. Estudió en la Universidad de Cristiania (actual Oslo), antes de trasladarse a Berlín en 1869 donde conoció a Felix Klein. Ambos viajaron a París y entraron en contacto con los recientes desarrollos en teoría de grupos efectuados por Camille Jordan. Inspirado por la obra de ambos, en 1874 introdujo varios conceptos básicos en el campo de las transformaciones geométricas que denominó grupos finitos y grupos continuos, a los que asoció lo que actualmente se conoce como álgebra de Lie. En 1883 desarrolló los grupos infinitos de transformaciones continuas como soluciones de ecuaciones diferenciales. Inicio Buscador Recomendar sitio

40. Lie, Marius Sophus lie, Marius sophus (18421899) lie was born near Bergen and studied atChristiania (now Oslo) and abroad at Berlin and Paris. http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/L/Lie/1.html

Lie, Marius Sophus Norwegian mathematician who provided the foundations for the science of topology in transformation groups known as the Lie groups. He was one of the first mathematicians to emphasize the importance of the notion of groups in geometry. Lie was born near Bergen and studied at Christiania (now Oslo) and abroad at Berlin and Paris. He was professor at Christiania 1873-86 and 1898-99 and at Leipzig, Germany, 1886-98. Lie's first great discovery, made in 1870, was that of his contact transformation, which mapped straight lines with spheres and principal tangent curves into curvature lines. In his theory of tangential transformations occurs the particular transformation that makes a sphere correspond to a straight line. By 1873 Lie had begun to investigate transformation groups. In this work on group theory he chose a new space element, the contact element, which is an incidence pair of point and line or of point and hyperplane. This led him to the discovery of Lie groups, one of the basic notions of which is that of infinitesimal transformation. The Lie integration theorem, which he developed, made it possible to classify partial differential equations in such a way as to make most of the classical methods of solving such equations reducible to a single principle.

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