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Langlands
Langlands is a traditional English surname stemming from Middle English. It refers to the land holdings of the original person so named, and literally means “long (or vast) lands”. It may refer to: People * Alan Langlands, vice chancellor of the University of Leeds * Anders Langlands, visual effects supervisor * Geoffrey Langlands (1917–2019), British army officer and educator * George Langlands (1886–1951), Scottish footballer * Graeme Langlands (1941–2018), Australian rugby player and coach * Langlands and Bell, English artists * Robert Langlands (born 1936), Canadian mathematician ** Langlands classification ** Langlands decomposition ** Langlands dual ** Langlands group ** Langlands program Other uses * Langlands, Queensland, a locality in the Western Downs Region, Queensland, Australia * Langlands Park Langlands Park is a sporting venue in the suburb of Stones Corner, in Brisbane, Queensland, Australia. It is the home ground of the Brisbane Tigers, a rugby leag ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert Langlands
Robert Phelan Langlands, (; born October 6, 1936) is a Canadian mathematician. He is best known as the founder of the Langlands program, a vast web of conjectures and results connecting representation theory and automorphic forms to the study of Galois groups in number theory, for which he received the 2018 Abel Prize. He was an emeritus professor and occupied Albert Einstein's office at the Institute for Advanced Study in Princeton, until 2020 when he retired. Career Langlands was born in New Westminster, British Columbia, Canada, in 1936 to Robert Langlands and Kathleen J Phelan. He has two younger sisters (Mary b 1938; Sally b 1941). In 1945, his family moved to White Rock, near the US border, where his parents had a building supply and construction business. He graduated from Semiahmoo Secondary School and started enrolling at the University of British Columbia at the age of 16, receiving his undergraduate degree in Mathematics in 1957; he continued at UBC to receive an M ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Langlands Program
In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by , it seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles. Widely seen as the single biggest project in modern mathematical research, the Langlands program has been described by Edward Frenkel as "a kind of grand unified theory of mathematics." The Langlands program consists of some very complicated theoretical abstractions, which can be difficult even for specialist mathematicians to grasp. To oversimplify, the fundamental lemma of the project posits a direct connection between the generalized fundamental representation of a finite field with its group extension to the automorphic forms under which it is invariant. This is accomplished through abstraction to higher dimensional integrati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Surname
In some cultures, a surname, family name, or last name is the portion of one's personal name that indicates one's family, tribe or community. Practices vary by culture. The family name may be placed at either the start of a person's full name, as the forename, or at the end; the number of surnames given to an individual also varies. As the surname indicates genetic inheritance, all members of a family unit may have identical surnames or there may be variations; for example, a woman might marry and have a child, but later remarry and have another child by a different father, and as such both children could have different surnames. It is common to see two or more words in a surname, such as in compound surnames. Compound surnames can be composed of separate names, such as in traditional Spanish culture, they can be hyphenated together, or may contain prefixes. Using names has been documented in even the oldest historical records. Examples of surnames are documented in the 11th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Middle English
Middle English (abbreviated to ME) is a form of the English language that was spoken after the Norman conquest of 1066, until the late 15th century. The English language underwent distinct variations and developments following the Old English period. Scholarly opinion varies, but the ''Oxford English Dictionary'' specifies the period when Middle English was spoken as being from 1150 to 1500. This stage of the development of the English language roughly followed the High to the Late Middle Ages. Middle English saw significant changes to its vocabulary, grammar, pronunciation, and orthography. Writing conventions during the Middle English period varied widely. Examples of writing from this period that have survived show extensive regional variation. The more standardized Old English language became fragmented, localized, and was, for the most part, being improvised. By the end of the period (about 1470) and aided by the invention of the printing press by Johannes Gutenberg in 14 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alan Langlands
Sir Robert Alan Langlands FRSE FRCP (Hon.) FRCGP (Hon.) FRCS (Edin.) (Hon.) FRCPSG (Hon.) FFPH FCGI FIA is a former vice-chancellor of the University of Leeds. He is notable for past service as the fourth chief executive of the National Health Service executive in England (1994–2000), as principal and vice-chancellor of the University of Dundee (2000–2009), and Chief Executive of the Higher Education Funding Council for England (2009–2013). Early career Robert Alan Langlands, born 29 May 1952, Glasgow, attended Allan Glen's School in Glasgow and graduated with an ordinary degree in biological science from the University of Glasgow in 1974. He became General Manager of North West Thames Regional Health Authority in 1991. Between 1994 and 2000 he served as the chief executive of the NHS executive in England where he was the Secretary of State’s principal policy adviser for the NHS. He was known as a formidably hard worker. In 1998 he received a Knighthood in the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anders Langlands
Ander Langlands is a visual effects supervisor. In 2016, he was nominated for Best Visual Effects at the 88th Academy Awards for his work on the film '' The Martian''. His nomination was shared with Chris Lawrence, Richard Stammers, and Steven Warner. In 2021, he was nominated at the 93rd Academy Awards for his work on the film ''Mulan''. His nominated was shared with Sean Andrew Faden, Seth Maury and Steve Ingram. Filmography * ''Harry Potter and the Prisoner of Azkaban'' (2004) * ''Charlie and the Chocolate Factory'' (2005) * ''Harry Potter and the Order of the Phoenix'' (2007) * ''10,000 BC'' (2008) * '' The Chronicles of Narnia: Prince Caspian'' (2008) * '' G.I. Joe: The Rise of Cobra'' (2009) * '' Clash of the Titans'' (2010) * ''Harry Potter and the Deathly Hallows – Part 1'' (2010) * ''Robin Hood'' (2010) * '' The Wolfman'' (2010) * '' Pirates of the Caribbean: On Stranger Tides'' (2011) * ''Wrath of the Titans'' (2012) * '' Man of Steel'' (2013) * '' X-Men: Days o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geoffrey Langlands
Geoffrey Douglas Langlands CMG, MBE, HI, SPk (21 October 1917 – 2 January 2019) was a British educationalist who spent most of his life teaching in and leading schools in Pakistan, instructing many of the country's elite. In World War II he served as a Major in the British Army, and afterwards in the British Indian Army, where he worked to keep the peace during the partition of the British Indian Empire in 1947. He transferred to the Pakistani Army at the birth of the country, and returned to a career in education, first of army officers. Then, at the invitation of the President, he joined the so-called "Eton of Pakistan", Aitchison College in Lahore. After 25 years there, he left to lead a military high school, Cadet College Razmak. He ended his career by taking on a new school in Chitral and raising it to internationally high standards; he continued to lead it into his 90s, when it was renamed in his honour Langlands School and College. Early life Langlands was born in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
George Langlands
George Milne Langlands (1886–1951) was a Scottish footballer who played as an inside left for Dundee and Forfar Athletic. He was a member of the Dundee team that won the Scottish Cup in 1910 (in the first of three matches in the final, he scored the last-minute equaliser which forced a replay), having been runners-up in the Scottish Football League the previous season. In a career interrupted by World War I, he returned to hometown club Forfar Athletic (where he had also started out) after the conflict and was an important member of the team during the years when they moved up from the Scottish Football Alliance The Scottish Football Alliance was a football league football structure set up in Scotland in competition with the Scottish Football League. Its success in the early years of professional football in both England and Scotland made Alliance the bas ... to become an SFL club. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graeme Langlands
Graeme Frank Langlands, MBE, (2 September 1941 – 20 January 2018), also known by the nickname of "Changa", was an Australian professional rugby league footballer who played in the 1950s, 1960s and 1970s. and coached in the 1970s. He retired as the most-capped player for the Australian national team with 45 international appearances from 1963 to 1975, and captained his country in 15 Test matches and World Cup games. Langlands was the and goal-kicker for the St. George Dragons in the latter half of their 11-year consecutive premiership-winning run from 1956 to 1966. Background Langlands was born on 2 September 1941 in Wollongong, New South Wales, Australia. Playing career Langlands represented Combined NSW High Schools from 1955 to 1957 and was playing 1st grade with the Wollongong Club in the Illawarra competition at age 18. The got his first big break with selection for Country Firsts in 1962 following the withdrawal of Newcastle's Les Johns due to injury. That same y ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Langlands And Bell
Langlands & Bell are two artists who work collaboratively. Ben Langlands (born London 1955) and Nikki Bell (born London 1959), began collaborating in 1978, while studying Fine Art at Middlesex Polytechnic in North London, from 1977 to 1980. Artistic practice and career Their artistic practice ranges from sculpture, film and video, to innovative digital media projects, art installations and full-scale architecture. Their work focuses on the complex web of relationships linking people with architecture and the built environment, and on a wider global level, the coded systems of mass-communications and exchange we use to negotiate an increasingly fast-changing technological world. Their first collaboration, in 1978, was an installation called ''The Kitchen'', consisting of two side-by-side kitchens, one created by Langlands and the other by Bell. In the mid-1980s, they became known for making monochromatic sculptures and reliefs, often in the form of furniture or architectural mo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Langlands Classification
In mathematics, the Langlands classification is a description of the irreducible representations of a reductive Lie group ''G'', suggested by Robert Langlands (1973). There are two slightly different versions of the Langlands classification. One of these describes the irreducible admissible (''g'',''K'')-modules, for ''g'' a Lie algebra of a reductive Lie group ''G'', with maximal compact subgroup ''K'', in terms of tempered representations of smaller groups. The tempered representations were in turn classified by Anthony Knapp and Gregg Zuckerman. The other version of the Langlands classification divides the irreducible representations into L-packets, and classifies the L-packets in terms of certain homomorphisms of the Weil group of R or C into the Langlands dual group. Notation *''g'' is the Lie algebra of a real reductive Lie group ''G'' in the Harish-Chandra class. *''K'' is a maximal compact subgroup of ''G'', with Lie algebra ''k''. *ω is a Cartan involution of ''G'', fixin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Langlands Decomposition
In mathematics, the Langlands decomposition writes a parabolic subgroup ''P'' of a semisimple Lie group as a product P=MAN of a reductive subgroup ''M'', an abelian subgroup ''A'', and a nilpotent subgroup ''N''. Applications A key application is in parabolic induction, which leads to the Langlands program In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by , it seeks to relate Galois groups in algebraic num ...: if G is a reductive algebraic group and P=MAN is the Langlands decomposition of a parabolic subgroup ''P'', then parabolic induction consists of taking a representation of MA, extending it to P by letting N act trivially, and inducing the result from P to G. See also * Lie group decompositions References Sources * A. W. Knapp, Structure theory of semisimple Lie groups. . Lie groups Algebraic groups {{Mathan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
