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Peter Slodowy
Peter Slodowy (12 October 1948, in Leverkusen – 19 November 2002, in Bonn) was a German mathematician who worked on singularity theory and algebraic geometry. He completed his Ph.D. thesis at the University of Regensburg in 1978 under the direction of Theodor Bröcker and Egbert Brieskorn. The Slodowy correspondence In mathematics, the ADE classification (originally ''A-D-E'' classifications) is a situation where certain kinds of objects are in correspondence with simply laced Dynkin diagrams. The question of giving a common origin to these classifications, ... is named after him. Publications * References * * 20th-century German mathematicians 1948 births 2002 deaths University of Regensburg alumni {{Germany-mathematician-stub ...
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Peter Slodowy (1981)
Peter Slodowy (12 October 1948, in Leverkusen – 19 November 2002, in Bonn) was a German mathematician who worked on singularity theory and algebraic geometry. He completed his Ph.D. thesis at the University of Regensburg in 1978 under the direction of Theodor Bröcker and Egbert Brieskorn Egbert Valentin Brieskorn (7 July 1936, in Rostock – 11 July 2013, in Bonn) was a German mathematician who introduced Brieskorn spheres and the Brieskorn–Grothendieck resolution. Education Brieskorn was born in 1936 as the son of a mill cons .... The Slodowy correspondence is named after him. Publications * References * * 20th-century German mathematicians 1948 births 2002 deaths University of Regensburg alumni {{Germany-mathematician-stub ...
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Leverkusen
Leverkusen () is a city in North Rhine-Westphalia, Germany, on the eastern bank of the Rhine. To the south, Leverkusen borders the city of Cologne, and to the north the state capital, Düsseldorf. With about 161,000 inhabitants, Leverkusen is one of the state's smaller cities. The city is known for the pharmaceutical company Bayer and its sports club Bayer 04 Leverkusen. History The heart of what is now Leverkusen was Wiesdorf, a village on the Rhine, which dates back to the 12th century. With the surrounding villages which have now been incorporated, the area also includes the rivers Wupper and Dhünn, and has suffered a lot from flooding, notably in 1571 and 1657, the latter resulting in Wiesdorf being moved East from the river to its present location. During the Cologne War, from 1583 to 1588 Leverkusen was ravaged by war. The entire area was rural until the late 19th century, when industry prompted the development that led to the city of Leverkusen, and to its becoming ...
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Bonn
The federal city of Bonn ( lat, Bonna) is a city on the banks of the Rhine in the German state of North Rhine-Westphalia, with a population of over 300,000. About south-southeast of Cologne, Bonn is in the southernmost part of the Rhine-Ruhr region, Germany's largest metropolitan area, with over 11 million inhabitants. It is a university city and the birthplace of Ludwig van Beethoven. Founded in the 1st century BC as a Roman settlement in the province Germania Inferior, Bonn is one of Germany's oldest cities. It was the capital city of the Electorate of Cologne from 1597 to 1794, and residence of the Archbishops and Prince-electors of Cologne. From 1949 to 1990, Bonn was the capital of West Germany, and Germany's present constitution, the Basic Law, was declared in the city in 1949. The era when Bonn served as the capital of West Germany is referred to by historians as the Bonn Republic. From 1990 to 1999, Bonn served as the seat of government – but no longer capital – ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ...
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Singularity Theory
In mathematics, singularity theory studies spaces that are almost manifolds, but not quite. A string can serve as an example of a one-dimensional manifold, if one neglects its thickness. A singularity can be made by balling it up, dropping it on the floor, and flattening it. In some places the flat string will cross itself in an approximate "X" shape. The points on the floor where it does this are one kind of singularity, the double point: one bit of the floor corresponds to more than one bit of string. Perhaps the string will also touch itself without crossing, like an underlined "U". This is another kind of singularity. Unlike the double point, it is not ''stable'', in the sense that a small push will lift the bottom of the "U" away from the "underline". Vladimir Arnold defines the main goal of singularity theory as describing how objects depend on parameters, particularly in cases where the properties undergo sudden change under a small variation of the parameters. These ...
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Algebraic Geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves, and quartic curves like lemniscates and Cassini ovals. A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation. Basic questions involve the study of the points of special interest like the singular points, the inflection points and the points at infinity. More advanced questions involve the topology of the ...
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University Of Regensburg
The University of Regensburg (german: link=no, Universität Regensburg) is a public research university located in the medieval city of Regensburg, Bavaria, a city that is listed as a UNESCO World Heritage Site. The university was founded on 18 July 1962 by the Landtag of Bavaria as the fourth full-fledged university in Bavaria. Following groundbreaking in 1965, the university officially opened to students during the 1967–1968 winter semester, initially housing faculties in Law and Business Sciences and Philosophy. During the summer semester of 1968 the faculty of Theology was created. Currently, the University of Regensburg houses eleven faculties. The university actively participates in the European Union's SOCRATES programme as well as several TEMPUS programmes. Its most famous academic, the previous Pope Benedict XVI, served as a professor there until 1977 and formally retained his chair in theology. History Attempts to establish a university in Regensburg had been advoc ...
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Egbert Brieskorn
Egbert Valentin Brieskorn (7 July 1936, in Rostock – 11 July 2013, in Bonn) was a German mathematician who introduced Brieskorn spheres and the Brieskorn–Grothendieck resolution. Education Brieskorn was born in 1936 as the son of a mill construction engineer in East Prussia. He grew up in Freudenberg (Siegerland) and studied mathematics and physics at the Ludwig-Maximilians-Universität München and the Rheinische Friedrich-Wilhelms-Universität Bonn. In 1963 he received his doctorate at Bonn under Friedrich Hirzebruch with thesis ''Zur differentialtopologischen und analytischen Klassifizierung gewisser algebraischer Mannigfaltigkeiten'', followed by his habilitation in 1968. Career From 1969 until 1973 he was professor ordinarius at Georg-August-Universität Göttingen and from 1973 to 1975 at the Sonderforschungsbereich Theoretische Mathematik in Bonn (since 1980 called the Max-Planck-Institut für Mathematik). From 1975 until his retirement as professor emeritus in 2001 ...
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Slodowy Correspondence
In mathematics, the ADE classification (originally ''A-D-E'' classifications) is a situation where certain kinds of objects are in correspondence with simply laced Dynkin diagrams. The question of giving a common origin to these classifications, rather than a posteriori verification of a parallelism, was posed in . The complete list of simply laced Dynkin diagrams comprises :A_n, \, D_n, \, E_6, \, E_7, \, E_8. Here "simply laced" means that there are no multiple edges, which corresponds to all simple roots in the root system forming angles of \pi/2 = 90^\circ (no edge between the vertices) or 2\pi/3 = 120^\circ (single edge between the vertices). These are two of the four families of Dynkin diagrams (omitting B_n and C_n), and three of the five exceptional Dynkin diagrams (omitting F_4 and G_2). This list is non-redundant if one takes n \geq 4 for D_n. If one extends the families to include redundant terms, one obtains the exceptional isomorphisms :D_3 \cong A_3, E_4 \cong A_4, ...
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Springer-Verlag
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology
". Springer Science+Business Media.
In 1964, Springer expanded its business internationally, o ...
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1948 Births
Events January * January 1 ** The General Agreement on Tariffs and Trade (GATT) is inaugurated. ** The Constitution of New Jersey (later subject to amendment) goes into effect. ** The railways of Britain are nationalized, to form British Railways. * January 4 – Burma gains its independence from the United Kingdom, becoming an independent republic, named the ''Union of Burma'', with Sao Shwe Thaik as its first President, and U Nu its first Prime Minister. * January 5 ** Warner Brothers shows the first color newsreel (''Tournament of Roses Parade'' and the ''Rose Bowl Game''). ** The first Kinsey Reports, Kinsey Report, ''Sexual Behavior in the Human Male'', is published in the United States. * January 7 – Mantell UFO incident: Kentucky Air National Guard pilot Thomas Mantell crashes while in pursuit of an unidentified flying object. * January 12 – Mahatma Gandhi begins his fast-unto-death in Delhi, to stop communal violence during the Partition of India. * ...
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