Gianni Dal Maso
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Gianni Dal Maso
Gianni Dal Maso (born 1954) is an Italian mathematician who is active in the fields of partial differential equations, calculus of variations and applied mathematics. Scientific activity Dal Maso studied at Scuola Normale Superiore under the guidance of Ennio De Giorgi and is professor of mathematics at the International School for Advanced Studies at Trieste, where he also serves as deputy director. Dal Maso has dealt with a number of questions related to partial differential equations and calculus of variations, covering a range of topics going from lower semicontinuity problems for multiple integrals to existence theorem for so called free discontinuity problems, from the study of asymptotic behaviour of variational problems via so called Γ-convergence methods to fine properties of solutions to obstacle problems. In the last years he has been considerably involved in the study of problems arising from applied mathematics, developing methods aimed at describing the evolution o ...
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Vicenza, Italy
Vicenza ( , ; ) is a city in northeastern Italy. It is in the Veneto region at the northern base of the ''Monte Berico'', where it straddles the Bacchiglione River. Vicenza is approximately west of Venice and east of Milan. Vicenza is a thriving and cosmopolitan city, with a rich history and culture, and many museums, art galleries, piazzas, villas, churches and elegant Renaissance '' palazzi''. With the Palladian Villas of the Veneto in the surrounding area, and his renowned ''Teatro Olimpico'' (Olympic Theater), the "city of Palladio" has been listed as a UNESCO World Heritage Site since 1994. In December 2008, Vicenza had an estimated population of 115,927 and a metropolitan area of 270,000. Vicenza is the third-largest Italian industrial centre as measured by the value of its exports, and is one of the country's wealthiest cities, in large part due to its textile and steel industries, which employ tens of thousands. Additionally, about one fifth of the country's gold an ...
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Trieste
Trieste ( , ; sl, Trst ; german: Triest ) is a city and seaport in northeastern Italy. It is the capital city, and largest city, of the autonomous region of Friuli Venezia Giulia, one of two autonomous regions which are not subdivided into provinces. Trieste is located at the head of the Gulf of Trieste, on a narrow strip of Italian territory lying between the Adriatic Sea and Slovenia; Slovenia lies approximately east and southeast of the city, while Croatia is about to the south of the city. The city has a long coastline and is surrounded by grassland, forest, and karstic areas. The city has a subtropical climate, unusual in relation to its relatively high latitude, due to marine breezes. In 2022, it had a population of about 204,302. Capital of the autonomous region of Friuli Venezia Giulia and previously capital of the Province of Trieste, until its abolition on 1 October 2017. Trieste belonged to the Habsburg monarchy from 1382 until 1918. In the 19th century the mon ...
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21st-century Italian Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, ...
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Living People
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European Research Council
The European Research Council (ERC) is a public body for funding of scientific and technological research conducted within the European Union (EU). Established by the European Commission in 2007, the ERC is composed of an independent Scientific Council, its governing body consisting of distinguished researchers, and an Executive Agency, in charge of the implementation. It forms part of the framework programme of the union dedicated to research and innovation, Horizon 2020, preceded by the Seventh Research Framework Programme (FP7). The ERC budget is over €13 billion from 2014 – 2020 and comes from the Horizon 2020 programme, a part of the European Union's budget. Under Horizon 2020 it is estimated that around 7,000 ERC grantees will be funded and 42,000 team members supported, including 11,000 doctoral students and almost 16,000 post-doctoral researchers. Researchers from any field can compete for the grants that support pioneering projects. The ERC competitions are open ...
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European Congress Of Mathematics
The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely between the ICM. The ECM is held under the auspices of the European Mathematical Society (EMS), and was one of its earliest initiatives. It was founded by Max Karoubi and the first edition took place in Paris in 1992. Its objectives are "to present various new aspects of pure and applied mathematics to a wide audience, to be a forum for discussion of the relationship between mathematics and society in Europe, and to enhance cooperation among mathematicians from all European countries." Activities The Congresses generally last a week and consist of plenary lectures, parallel (invited) lectures and several mini-symposia devoted to a particular subject, where participants can contribute with posters and short talks. Many editions featured also s ...
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Accademia Dei Lincei
The Accademia dei Lincei (; literally the "Academy of the Lynx-Eyed", but anglicised as the Lincean Academy) is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy. Founded in the Papal States in 1603 by Federico Cesi, the academy was named after the lynx, an animal whose sharp vision symbolizes the observational prowess that science requires. Galileo Galilei was the intellectual centre of the academy and adopted "Galileo Galilei Linceo" as his signature. "The Lincei did not long survive the death in 1630 of Cesi, its founder and patron", and "disappeared in 1651". During the nineteenth century, it was revived, first in the Vatican and later in the nation of Italy. Thus the Pontifical Academy of Science, founded in 1847, claims this heritage as the ''Accademia Pontificia dei Nuovi Lincei ("Pontifical Academy of the New Lynxes")'', descending from the first two incarnations of the Academy. ...
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Accademia Nazionale Delle Scienze
The Accademia Nazionale delle Scienze (), or more formally L'Accademia Nazionale delle Scienze detta dei XL, and also called the Accademia dei XL (), is Italy's national academy of science. Its offices are located within the Villino Rosso, at the corner of via L. Spallanzani and via Siracusa, Villa Torlonia, Rome. The academy promotes progress in mathematics, physics, and natural sciences; organizes meetings; publishes journals; establishes consultative committees for governmental agencies; and awards scientific prizes. The academy contains 40 fellows and a variable number of "fellows in excess" who are age 70 and above, and who have been fellows for at least five years. It also contains 25 foreign members. History The academy was founded in 1782 in Verona as the Società Italiana, comprising 40 scientists from various parts of Italy. The idea of forming an academy comprising the leading Italian scientists was put forward in 1766 by the mathematician Antonio Maria Lorgna. By 1781 ...
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Γ-convergence
In the field of mathematical analysis for the calculus of variations, Γ-convergence (Gamma-convergence) is a notion of convergence for functionals. It was introduced by Ennio de Giorgi. Definition Let X be a topological space and \mathcal(x) denote the set of all neighbourhoods of the point x\in X. Let further F_n:X\to\overline be a sequence of functionals on X. The \Gamma\text and the \Gamma\text are defined as follows: :\Gamma\text\liminf_ F_n(x)=\sup_\liminf_\inf_F_n(y), :\Gamma\text\limsup_ F_n(x)=\sup_\limsup_\inf_F_n(y). F_n are said to \Gamma-converge to F, if there exist a functional F such that \Gamma\text\liminf_ F_n=\Gamma\text\limsup_ F_n=F. Definition in first-countable spaces In first-countable spaces, the above definition can be characterized in terms of sequential \Gamma-convergence in the following way. Let X be a first-countable space and F_n:X\to\overline a sequence of functionals on X. Then F_n are said to \Gamma-converge to the \Gamma-limit F:X\to\overlin ...
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Applied Mathematics
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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