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Teichmüller Theory
Teichmüller is a German surname (German for ''pond miller'') and may refer to: * Anna Teichmüller (1861–1940), German composer * :de:Frank Teichmüller (19?? – now), former German IG Metall district manager "coast" * Gustav Teichmüller (1832–1888), German philosopher * :de:Marlies Teichmüller (1914–2000), German geologist * (Paul Julius) Oswald Teichmüller (1913–1943), German mathematician * Robert Teichmüller (1863–1939), pianist and professor * :de:Rolf Teichmüller (1904–1983), German geologist See also * Teichmüller space * Inter-universal Teichmüller theory Inter-universal Teichmüller theory (abbreviated as IUT or IUTT) is the name given by mathematician Shinichi Mochizuki to a theory he developed in the 2000s, following his earlier work in arithmetic geometry. According to Mochizuki, it is "an arith ... {{DEFAULTSORT:Teichmueller German-language surnames ...
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German Language
German ( ) is a West Germanic languages, West Germanic language mainly spoken in Central Europe. It is the most widely spoken and Official language, official or co-official language in Germany, Austria, Switzerland, Liechtenstein, and the Italy, Italian province of South Tyrol. It is also a co-official language of Luxembourg and German-speaking Community of Belgium, Belgium, as well as a national language in Namibia. Outside Germany, it is also spoken by German communities in France (Bas-Rhin), Czech Republic (North Bohemia), Poland (Upper Silesia), Slovakia (Bratislava Region), and Hungary (Sopron). German is most similar to other languages within the West Germanic language branch, including Afrikaans, Dutch language, Dutch, English language, English, the Frisian languages, Low German, Luxembourgish, Scots language, Scots, and Yiddish. It also contains close similarities in vocabulary to some languages in the North Germanic languages, North Germanic group, such as Danish lan ...
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Anna Teichmüller
Anna Teichmüller (11 May 1861 – 6 September 1940) was a German composer and teacher who set the works of many poets, especially Carl Hauptmann, to music. She composed most of her works at the Schreiberhau artist colony. Teichmüller was born in Göttingen, the oldest child of Anna von Cramer and Gustav Teichmüller. The family lived in Tartu, Estonia, during her childhood, where Gustav was a university professor. After his wife's death in childbirth in 1862, Gustav married her sister Lina, and they had eight more children. Teichmüller studied music in Jena and Berlin. She met Carl Hauptmann in Jena in 1893, and he persuaded her to move to the artist colony in Schreiberhau (then in Prussia; today known as Szklarska Poręba, Poland), where she lived until the end of her life. Hauptmann dedicated his book ''Aus meinem Tagebuch München'' (''From My Munich Diary)'' to Teichmüller. Although Teichmüller was known as Hauptmann's "Liederbraut" (bride of song), she composed music f ...
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IG Metall
IG Metall (; IGM; German: ''Industriegewerkschaft Metall'', "Industrial Union of Metalworkers'") is the dominant metalworkers' union in Germany, making it the country's largest union as well as Europe's largest industrial union. Analysts of German labor relations consider it a major trend-setter in national bargaining. IG Metall and ver.di together account for around 15 percent of the German workforce, and other sectors tend to broadly follow their agreements. History The name IG Metall refers to the union's metalworkers roots dating back to the start of unions in imperial Germany in the 1890s, though this formal organization was founded post-war in 1949. Wikipedia DE Over the years the union has taken on representation in industries beyond mining of minerals to include manufacturing and industrial production, machinists, printing industry, which includes modern automobile manufacturing and steel production as part of its blue-collar root, but also includes more white-collar ...
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Gustav Teichmüller
Gustav Teichmüller (November 19, 1832 – May 22, 1888) was a German philosopher. His works, particularly his notion of perspectivism, influenced Friedrich Nietzsche's philosophy. Biography Teichmüller was born in Braunschweig in the Duchy of Brunswick. He was the son of August Teichmüller and Charlotte Georgine Elisabeth Teichmüller, née von Girsewaldt. His father was a lieutenant in the Prussian army. His mother also came from a soldier's family. Teichmüller received a classical education at the local gymnasium, where he developed an interest in philosophy, especially aesthetic philosophy. Beginning in 1852, he studied philosophy in Berlin under Frederick Adolf Trendelenburg, a well-known specialist in ancient philosophy. He also spent a semester studying in Tübingen under Jakob Friedrich Reiff and Friedrich Theodor Vischer, gaining greater knowledge in the areas of natural science and classical philology. He taught as a professor at the Basel University (since 186 ...
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Oswald Teichmüller
Paul Julius Oswald Teichmüller (; 18 June 1913 – 11 September 1943) was a German mathematician who made contributions to complex analysis. He introduced quasiconformal mappings and differential geometric methods into the study of Riemann surfaces. Teichmüller spaces are named after him. He was a supporter of the Nazi regime. Born in Nordhausen, Teichmüller attended the University of Göttingen, where he graduated in 1935 under the supervision of Helmut Hasse. His doctoral dissertation was on operator theory, though this was his only work on functional analysis. His next few papers were algebraic, but he switched his focus to complex analysis after attending lectures given by Rolf Nevanlinna. In 1937, he moved to the University of Berlin to work with Ludwig Bieberbach. Bieberbach was the editor of ''Deutsche Mathematik'' and much of Teichmüller's work was published in the journal, which made his papers hard to find in modern libraries before the release of his collected works ...
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Robert Teichmüller
Robert Teichmüller (4 May 1863, in Braunschweig – 6 May 1939, in Leipzig) was a German concert pianist and music educator. He studied piano and music theory with Carl Reinecke at the Leipzig Conservatory where he later became a faculty member in 1897, promoted to professor in 1908. He became one of the most influential piano teachers of his time. His students included notable pianists Günther Ramin, Sigfrid Karg-Elert, Siegfried Rapp, Harry Dean, Kurt Hessenberg, Eileen Joyce, Rudolf Wagner-Régeny, Herbert Albert, Rudolf Mauersberger Rudolf Mauersberger (29 January 1889 – 22 February 1971) was a German choral conductor and composer. His younger brother Erhard was also a conductor and composer. Career After positions in Aachen and Eisenach, he became director of the re ..., Elinor Kaland (maiden name Loose), Leonard Shepherd Munn and Ernst Oster, who became a music theory teacher. He also edited piano music of Mozart and Max Reger. In 1927 he wrote an ongoing su ...
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Teichmüller Space
In mathematics, the Teichmüller space T(S) of a (real) topological (or differential) surface S, is a space that parametrizes complex structures on S up to the action of homeomorphisms that are isotopic to the identity homeomorphism. Teichmüller spaces are named after Oswald Teichmüller. Each point in a Teichmüller space T(S) may be regarded as an isomorphism class of "marked" Riemann surfaces, where a "marking" is an isotopy class of homeomorphisms from S to itself. It can be viewed as a moduli space for marked Riemann surface#Hyperbolic Riemann surfaces, hyperbolic structure on the surface, and this endows it with a natural topology for which it is homeomorphic to a Ball (mathematics), ball of dimension 6g-6 for a surface of genus g \ge 2. In this way Teichmüller space can be viewed as the orbifold, universal covering orbifold of the Moduli of algebraic curves, Riemann moduli space. The Teichmüller space has a canonical complex manifold structure and a wealth of natural m ...
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Inter-universal Teichmüller Theory
Inter-universal Teichmüller theory (abbreviated as IUT or IUTT) is the name given by mathematician Shinichi Mochizuki to a theory he developed in the 2000s, following his earlier work in arithmetic geometry. According to Mochizuki, it is "an arithmetic version of Teichmüller theory for number fields equipped with an elliptic curve". The theory was made public in a series of four preprints posted in 2012 to his website. The most striking claimed application of the theory is to provide a proof for various outstanding conjectures in number theory, in particular the ''abc'' conjecture. Mochizuki and a few other mathematicians claim that the theory indeed yields such a proof but this has so far not been accepted by the mathematical community. History The theory was developed entirely by Mochizuki up to 2012, and the last parts were written up in a series of four preprints. Mochizuki made his work public in August 2012 with none of the fanfare that typically accompanies major advan ...
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