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Maurice A. De Gosson
Maurice A. de Gosson (born 13 March 1948), (also known as Maurice Alexis de Gosson de Varennes) is an Austrian mathematician and mathematical physicist, born in Berlin. He is currently a Senior Researcher at the Numerical Harmonic Analysis Group (NuHAG) of the University of Vienna. Work After completing his PhD in microlocal analysis at the University of Nice in 1978 under the supervision of Jacques Chazarain, de Gosson soon became fascinated by Jean Leray's Lagrangian analysis. Under Leray's tutorship de Gosson completed a Habilitation à Diriger des Recherches en Mathématiques at the University of Paris 6 (1992). During this period he specialized in the study of the Leray–Maslov index and in the theory of the metaplectic group, and their applications to mathematical physics. In 1998 de Gosson met Basil Hiley, who triggered his interest in conceptual questions in quantum mechanics. Basil Hiley wrote a foreword to de Gosson's book ''The Principles of Newtonian and Quantum ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Berlin
Berlin ( ; ) is the Capital of Germany, capital and largest city of Germany, by both area and List of cities in Germany by population, population. With 3.7 million inhabitants, it has the List of cities in the European Union by population within city limits, highest population within its city limits of any city in the European Union. The city is also one of the states of Germany, being the List of German states by area, third smallest state in the country by area. Berlin is surrounded by the state of Brandenburg, and Brandenburg's capital Potsdam is nearby. The urban area of Berlin has a population of over 4.6 million and is therefore the most populous urban area in Germany. The Berlin/Brandenburg Metropolitan Region, Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's second-largest metropolitan region after the Rhine-Ruhr region, as well as the List of EU metropolitan areas by GDP, fifth-biggest metropolitan region by GDP in the European Union. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hans Georg Feichtinger
Hans Georg Feichtinger (born 16 June 1951) is an Austrian mathematician. He is Professor in the mathematical faculty of the University of Vienna. He is editor-in-chief of the Journal of Fourier Analysis and Applications (JFAA) and associate editor to several other journals. He is one of the founders and head of the Numerical Harmonic Analysis Group (NuHAG) at University of Vienna. Today Feichtinger's main field of research is harmonic analysis with a focus on time-frequency analysis. Biography Hans Georg Feichtinger was born in Wiener Neustadt where he graduated from the Gymnasium (school), Gymnasium and received the Matura "summa cum laude" in 1969. In the same year he started his studies in mathematics and physics. He finished his PhD at the University of Vienna in 1974 under the supervision of Hans J. Reiter, Hans Reiter in 1974 with a doctoral thesis on ''Subalgebras of L1(G)''. Feichtinger attained professorship with the defense of his habilitation thesis on ''Banach convo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Non-squeezing Theorem
The non-squeezing theorem, also called Gromov's non-squeezing theorem, is one of the most important theorems in symplectic geometry. It was first proven in 1985 by Mikhail Gromov. The theorem states that one cannot embed a ball into a cylinder via a symplectic map unless the radius of the ball is less than or equal to the radius of the cylinder. The theorem is important because formerly very little was known about the geometry behind symplectic maps. One easy consequence of a transformation being symplectic is that it preserves volume. One can easily embed a ball of any radius into a cylinder of any other radius by a volume-preserving transformation: just picture squeezing the ball into the cylinder (hence, the name non-squeezing theorem). Thus, the non-squeezing theorem tells us that, although symplectic transformations are volume-preserving, it is much more restrictive for a transformation to be symplectic than it is to be volume-preserving. Background and statement Consid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mikhail Leonidovich Gromov
Mikhael Leonidovich Gromov (also Mikhail Gromov, Michael Gromov or Misha Gromov; ; born 23 December 1943) is a Russian-French mathematician known for his work in geometry, analysis and group theory. He is a permanent member of Institut des Hautes Études Scientifiques in France and a professor of mathematics at New York University. Gromov has won several prizes, including the Abel Prize in 2009 "for his revolutionary contributions to geometry". Early years, education and career Mikhail Gromov was born on 23 December 1943 in Boksitogorsk, Soviet Union. His father Leonid Gromov was Russian-Slavic and his mother Lea was of Jewish heritage. Both were pathologists. His mother was the cousin of World Chess Champion Mikhail Botvinnik, as well as of the mathematician Isaak Moiseevich Rabinovich. Gromov was born during World War II, and his mother, who worked as a medical doctor in the Soviet Army, had to leave the front line in order to give birth to him. When Gromov was nine years ol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bremen
Bremen (Low German also: ''Breem'' or ''Bräm''), officially the City Municipality of Bremen (, ), is the capital of the States of Germany, German state of the Bremen (state), Free Hanseatic City of Bremen (), a two-city-state consisting of the cities of Bremen and Bremerhaven. With about 577,000 inhabitants, the Hanseatic League, Hanseatic city is the List of cities in Germany by population, 11th-largest city of Germany and the second-largest city in Northern Germany after Hamburg. Bremen is the largest city on the River Weser, the longest river flowing entirely in Germany, lying some upstream from its River mouth, mouth into the North Sea at Bremerhaven, and is completely surrounded by the state of Lower Saxony. Bremen is the centre of the Northwest Metropolitan Region, which also includes the cities of Oldenburg (city), Oldenburg and Bremerhaven, and has a population of around 2.8 million people. Bremen is contiguous with the Lower Saxon towns of Delmenhorst, Stuhr, Achim, Wey ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobs Universität
Jacobs may refer to: Businesses and organisations *Jacob's, a brand name for several lines of biscuits and crackers in Ireland and the UK *Jacobs (coffee), a German brand of coffee *Jacobs Solutions, an American international technical professional services firm *Jacobs Aircraft Engine Company, former American aircraft engine company *Jacobs Entertainment, an American gaming, hospitality, and entertainment company * Jacobs School of Medicine and Biomedical Sciences, at the University at Buffalo, New York, U.S. *Jacobs School of Music, at, Indiana University, U.S. *Jacobs University Bremen, in Germany People *Jacobs (surname), including a list of people with this name Places *Jacobs, Louisville, Kentucky, U.S. *Jacobs, Pennsylvania, U.S., now Port Providence *Jacobs, Wisconsin, U.S. *Jacobs Island, Antarctica Other uses * Jacobs F.C., a former Irish football club *, a tug, formerly ''Empire Gnome'' See also * Jacob (other) * Jacobs Creek (other) * Jacobs Ri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toulouse
Toulouse (, ; ; ) is a city in southern France, the Prefectures in France, prefecture of the Haute-Garonne department and of the Occitania (administrative region), Occitania region. The city is on the banks of the Garonne, River Garonne, from the Mediterranean Sea, from the Atlantic Ocean and from Paris. It is the List of communes in France with over 20,000 inhabitants, fourth-largest city in France after Paris, Marseille and Lyon, with 511,684 inhabitants within its municipal boundaries (2022); its Functional area (France), metropolitan area has a population of 1,513,396 inhabitants (2022). Toulouse is the central city of one of the 22 Métropole, metropolitan councils of France. Between the 2014 and 2020 censuses, its metropolitan area was the third fastest growing among metropolitan areas larger than 500,000 inhabitants in France. Toulouse is the centre of the European aerospace industry, with the headquarters of Airbus, the SPOT (satellites), SPOT satellite system, ATR ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Université Paul Sabatier
Paul Sabatier University (''Université Paul Sabatier'' , UPS, also known as Toulouse III) was a French university, in the Academy of Toulouse. It was one of the several successor universities of the University of Toulouse, established in 1229, making it one of the earliest universities to emerge in Europe. It has since become, once again, the University of Toulouse. Toulouse III was named after Paul Sabatier, winner of the 1912 Nobel Prize in Chemistry. In 1969, it was established on the foundations of the old Toulouse university that was itself founded in 1229. Université Toulouse-III was a leading educational institution in France and the Midi-Pyrénées region. It offered a wide range of programs in science, technology, health and athletics. University research activities The following list is not exhaustive. * Mathematics ** Plasma and energy conversion laboratory (LAPLACE) * Space, astrophysics, aeronautics ** Toulouse Space Center ** Higher Institute of Aeronauti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bonn
Bonn () is a federal city in the German state of North Rhine-Westphalia, located on the banks of the Rhine. With a population exceeding 300,000, it lies about south-southeast of Cologne, in the southernmost part of the Rhine-Ruhr region. This metropolitan area, Germany's largest, is also the second largest in the European Union by GDP, with over 11 million residents. Bonn served as the capital of West Germany from 1949 until 1990 and was the seat of government for reunified Germany until 1999, when the government relocated to Berlin. The city holds historical significance as the birthplace of Germany's current constitution, the Basic Law. Founded in the 1st century BC as a settlement of the Ubii and later part of the Roman province Germania Inferior, Bonn is among Germany's oldest cities. It was the capital city of the Electorate of Cologne from 1597 to 1794 and served as the residence of the Archbishops and Prince-electors of Cologne. The period during which Bonn was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Max-Planck-Institut Für Mathematik
The Max Planck Institute for Mathematics (, MPIM) is a research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the Max Planck Society (''Max-Planck-Gesellschaft''), an association of 84 institutes engaging in fundamental research in the arts and the sciences. The MPIM is the only Max Planck institute specializing in pure mathematics. The Institute was founded by Friedrich Hirzebruch in 1980, having emerged from the collaborative research center "Theoretical Mathematics" ( Sonderforschungsbereich "Theoretische Mathematik"). Hirzebruch shaped the institute as its director until his retirement in 1995. Currently, the institute is managed by a board of three directors consisting of Peter Teichner (managing director), Peter Scholze and Dennis Gaitsgory. Friedrich Hirzebruch and Yuri Manin were, and Günter Harder, Werner Ballmann, Gerd Faltings and Don Zagier are, acting as emeriti. Research The Max Planck Institu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Albert-Einstein-Institut
The Max Planck Institute for Gravitational Physics (Albert Einstein Institute) is a Max Planck Institute whose research is aimed at investigating Einstein's theory of relativity and beyond: Mathematics, quantum gravity, astrophysical relativity, and gravitational-wave astronomy. The institute was founded in 1995 and is located in the Potsdam Science Park in Golm, Potsdam and in Hannover where it closely collaborates with the Leibniz University Hannover. Both the Potsdam and the Hannover parts of the institute are organized in three research departments and host a number of independent research groups. The institute conducts fundamental research in mathematics, data analysis, astrophysics and theoretical physics as well as research in laser physics, vacuum technology, vibration isolation and classical and quantum optics. When the LIGO Scientific Collaboration announced the first detection of gravitational waves, researchers of the institute were involved in modeling, detecting ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Potsdam
The University of Potsdam is a public university in Potsdam, capital of the state of Brandenburg, northeastern Germany. The university is mainly situated across three campuses in the city. Some faculty buildings are part of the New Palace of Sanssouci which is known for its UNESCO World Heritage status. The University of Potsdam is Brandenburg's largest university and the fourth largest in the Berlin-Brandenburg metropolitan area. More than 8,000 people are working in scholarship and science. In 2009 the University of Potsdam became a winner in the "Excellence in Teaching" initiative of the Stifterverband für die Deutsche Wissenschaft (Business innovation agency for the German science system). History The University of Potsdam was formed in 1991 by the amalgamation of the ''Karl Liebknecht College of Education'' and the ''Brandenburg State College'', as well as several other smaller institutions. As the university in large part emerged from the College of Education, emp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
