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Madhav V. Nori
Madhav Vithal Nori is an Indian mathematician. In 1980 he has received the INSA Medal for Young Scientists. Career Nori was awarded his PhD in mathematics in 1981 from the University of Mumbai. He studies within the fields of algebraic geometry and commutative algebra. His areas of interest in research focus on algebraic cycles, K-theory, Hodge theory, Galois theory, and their interactions. Nori received the INSA Medal for Young Scientists in 1980 and is an elected Fellow of the Indian Academy of Sciences, Bangalore. The fundamental group scheme Under the direction of Conjeerveram S. Seshadri Nori proved the existence of the fundamental group scheme \pi_1(X,x) during his PhD work, using the theory of essentially finite vector bundles that he defined. The fundamental group scheme is also known as Nori fundamental group scheme, taking the name by his creator, and often also denoted as \pi^N(X,x), where N stands for Nori. There is a special family of vector bund ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Chicago
The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the best universities in the world and it is among the most selective in the United States. The university is composed of an undergraduate college and five graduate research divisions, which contain all of the university's graduate programs and interdisciplinary committees. Chicago has eight professional schools: the Law School, the Booth School of Business, the Pritzker School of Medicine, the Crown Family School of Social Work, Policy, and Practice, the Harris School of Public Policy, the Divinity School, the Graham School of Continuing Liberal and Professional Studies, and the Pritzker School of Molecular Engineering. The university has additional campuses and centers in London, Paris, Beijing, Delhi, and Hong Kong, as well as in downtown ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fundamental Group Scheme
In mathematics, the fundamental group scheme is a group scheme canonically attached to a scheme over a Dedekind scheme (e.g. the spectrum of a field or the spectrum of a discrete valuation ring). It is a generalisation of the étale fundamental group. Although its existence was conjectured by Alexander Grothendieck, the first proof if its existence is due, for schemes defined over fields, to Madhav Nori. A proof of its existence for schemes defined over Dedekind schemes is due to Marco Antei, Michel Emsalem and Carlo Gasbarri. History The (topological) fundamental group associated with a topological space is the group of the equivalence classes under homotopy of the loops contained in the space. Although it is still being studied for the classification of algebraic varieties even in algebraic geometry, for many applications the fundamental group has been found to be inadequate for the classification of objects, such as schemes, that are more than just topological spaces. The same ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century Indian 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, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nori Motive
Nori is a dried edible seaweed used in Japanese cuisine, made from species of the red algae genus '' Pyropia'', including ''P. yezonesis'' and '' P. tenera''. It has a strong and distinctive flavor, and is often used to wrap rolls of sushi or '' onigiri'' (rice balls). The finished dried sheets are made by a shredding and rack-drying process that resembles papermaking. They are sold in packs in grocery stores for culinary purposes. Since nori sheets easily absorb water from the air and degrade, a desiccant is needed when storing nori for any significant time. History Originally, the term ''nori'' was generic and referred to seaweeds, including '' hijiki''. One of the earliest descriptions of nori is dated to around the eighth century. In the Taihō Code that was enacted in 701, ''nori'' already was included in the form of taxation. Local people were described as drying nori in Hitachi Province fudoki (721–721), and harvesting of nori was mentioned in Izumo Province ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marco Antei
Marco may refer to: People * Marco (given name), people with the given name Marco * Marco (actor) (born 1977), South Korean model and actor * Georg Marco (1863–1923), Romanian chess player of German origin * Tomás Marco (born 1942), Spanish composer and writer on music Places * Marco, Ceará, Brazil, a municipality * Marco, New Zealand, a locality in the Taranaki Region * Marco, Indiana, United States, an unincorporated town * Marco, Missouri, United States, an unincorporated community * Marco Island, Florida, United States, a city and an island Science and technology * Mars Cube One (MarCO), a pair of small satellites which fly by Mars in 2018 * MARCO, a macrophage receptor protein that in humans is encoded by the MARCO gene * Mid-Atlantic Regional Council on the Ocean (MARCO) * Marco, the official window manager of MATE (software), MATE Arts and entertainment * ''Marco: 3000 Leagues in Search of Mother'', a 1976 Japanese anime series, directed by Isao Takahata * Marco (film ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nori-semistable
In mathematics, a Nori semistable vector bundle is a particular type of vector bundle whose first definition has been first implicitly suggested by Madhav V. Nori, as one of the main ingredients for the construction of the fundamental group scheme. The original definition given by Nori was obviously not called ''Nori semistable''. Also, Nori's definition was different from the one suggested nowadays. The Category (mathematics), category of Nori semistable vector bundles contains the Tannakian formalism, Tannakian category of essentially finite vector bundles, whose naturally associated group scheme is the fundamental group scheme In mathematics, the fundamental group scheme is a group scheme canonically attached to a scheme over a Dedekind scheme (e.g. the spectrum of a field or the spectrum of a discrete valuation ring). It is a generalisation of the étale fundamental grou ... \pi_1(X,x). Definition Let X be a scheme over a field k and V a vector bundle on X. It is said that V i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vector Bundle
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every point x of the space X we associate (or "attach") a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over X. The simplest example is the case that the family of vector spaces is constant, i.e., there is a fixed vector space V such that V(x)=V for all x in X: in this case there is a copy of V for each x in X and these copies fit together to form the vector bundle X\times V over X. Such vector bundles are said to be ''trivial''. A more complicated (and prototypical) class of examples are the tangent bundles of smooth (or differentiable) manifolds: to every point of such a manifold w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Essentially Finite Vector Bundle
In mathematics, an essentially finite vector bundle is a particular type of vector bundle defined by Madhav V. Nori, as the main tool in the construction of the fundamental group scheme. Even if the definition is not intuitive there is a nice characterization that makes essentially finite vector bundles quite natural objects to study in algebraic geometry. The following notion of ''finite vector bundle'' is due to André Weil and will be needed to define essentially finite vector bundles: Finite vector bundles Let X be a scheme and V a vector bundle on X. For f = a_0 + a_1 x + \ldots + a_n x^n \in \mathbb_ /math> an integral polynomial with nonnegative coefficients define :f(V) := \mathcal_X^ \oplus V^ \oplus \left(V^\right)^ \oplus \ldots \oplus \left(V ^\right)^ Then V is called finite if there are two distinct polynomials f,g\in \mathbb_ /math> for which f(V) is isomorphic to g(V). Definition The following two definitions coincide whenever X is a reduced, connected and prop ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bangalore
Bangalore (), officially Bengaluru (), is the capital and largest city of the Indian state of Karnataka. It has a population of more than and a metropolitan population of around , making it the third most populous city and fifth most populous urban agglomeration in India, as well as the largest city in South India, and the 27th largest city in the world. Located on the Deccan Plateau, at a height of over above sea level, Bangalore has a pleasant climate throughout the year, with its parks and green spaces earning it the reputation as the "Garden City" of India. Its elevation is the highest among the major cities of India. An aerospace, heavy engineering and electronics hub since the 1960s, Bangalore is widely regarded as the "Silicon Valley of India" because of its role as the nation's leading information technology (IT) exporter.——— In the Ease of Living Index 2020 (published by the Ministry of Housing and Urban Affairs), it was ranked the most livable Indian ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Mumbai
The University of Mumbai is a collegiate university, collegiate, State university (India), state-owned, Public university, public research university in Mumbai. The University of Mumbai is one of the largest universities in the world. , the university had 711 affiliated colleges. Ratan Tata is the appointed head of the advisory council. History In accordance with "Wood's despatch", drafted by Charles Wood, 1st Viscount Halifax, Sir Charles Wood in 1854, the University of Bombay was established in 1857 after the presentation of a petition from the Bombay Association to the British colonial government in India. The University of Mumbai was modelled on similar universities in the United Kingdom, specifically the University of London. The first departments established were the Faculty of Arts at Elphinstone College in 1835 and the Faculty of Medicine at Grant Medical College in 1845. Both colleges existed before the university was founded and surrendered their degree-granting priv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
