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Bott
Bott is an English and German surname. Notable people with the surname include: *Catherine Bott, English soprano * Charlie Bott, English rugby player * François Bott (born 1935) * John Bott *Leon Bott, Australian rugby league footballer * Leonidas Bott (1889–1969), Australian cricketer *Lloyd Bott (1917–2004), senior Australian public servant *Mark Bott, English cricketer * Markus Bott (born 1962), German boxer *Martin Bott, English geophysicist * Nina Bott (born 1978), German actress * Randy L. Bott *Raoul Bott, mathematician *Richard Bott *Violet Elizabeth Bott the character in a Richmal Crompton novel. * Wilf Bott See also *Atiyah–Bott fixed-point theorem *Borel–Weil–Bott theorem *Bott periodicity theorem *Bott residue formula In mathematics, the Bott residue formula, introduced by , describes a sum over the fixed points of a holomorphic vector field of a compact complex manifold. Statement If ''v'' is a holomorphic vector field on a compact complex manifold ''M' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Raoul Bott
Raoul Bott (September 24, 1923 – December 20, 2005) was a Hungarian-American mathematician known for numerous basic contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem. Early life Bott was born in Budapest, Hungary, the son of Margit Kovács and Rudolph Bott. His father was of Austrian descent, and his mother was of Hungarian Jewish descent; Bott was raised a Catholic by his mother and stepfather. Bott grew up in Czechoslovakia and spent his working life in the United States. His family emigrated to Canada in 1938, and subsequently he served in the Canadian Army in Europe during World War II. Career Bott later went to college at McGill University in Montreal, where he studied electrical engineering. He then earned a PhD in mathematics from Carnegie Mellon University in Pittsburgh in 1949. His thesis, titled ''Electrical Network Theory'', ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bott Periodicity Theorem
In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by , which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres. Bott periodicity can be formulated in numerous ways, with the periodicity in question always appearing as a period-2 phenomenon, with respect to dimension, for the theory associated to the unitary group. See for example topological K-theory. There are corresponding period-8 phenomena for the matching theories, (real) KO-theory and ( quaternionic) KSp-theory, associated to the real orthogonal group and the quaternionic symplectic group, respectively. The J-homomorphism is a homomorphism from the homotopy groups of orthogonal groups to stable homotopy groups of spheres, which causes the period 8 Bott periodicity to be visible in the stable homotopy groups of spheres. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
François Bott
François Bott (26 June 1935 – 22 September 2022) was a French author who after a long career as a journalist and literary critic became a writer of novels, one of which, ''Une minute d’absence'' (2001), won the Académie Française's ''Prix de la Nouvelle''. He continued as a literary critic, writing essays focused on other writers, especially Roger Vailland. Biography After earning his Licence in philosophy, Bott began as a journalist at ''France-Soir''. He then directed the literary pages of ''L'Express'' and founded '' Le Magazine Littéraire'' in 1967. The following year he joined the newspaper ''Le Monde'', where he directed ''Le Monde des livres'' from 1983 to 1991, replacing . In 1995, he decided to leave journalism to devote himself to writing books. Bott authored some thirty books, including novels and literary essays, such as ''La Demoiselle des Lumières'' and ''Sur la planète des sentiments'', works on writers and exceptional women. His retells the story o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martin Bott
Martin Harold Phillips Bott (12 July 1926 – 20 October 2018) was a British geologist and Professor in the Department of Earth Sciences at the University of Durham, England. Education Bott was educated at Clayesmore School in Dorset and Magdalene College, Cambridge, where he was awarded a Master of Arts degree and PhD. Career Bott worked throughout his academic career at the University of Durham. In 1954 he started as Turner & Newall Research Fellow. In 1956 he received an appointment as lecturer in Geophysics, was promoted to Reader in Geophysics in 1963 and in 1966 appointed Professor of Geophysics. This place he held until his retirement in 1988, interrupted only in 1970 by a year abroad at the Lamont–Doherty Geological Observatory of Columbia University. Research Bott dealt first with the interpretation of magnetic and gravimetric anomalies in England, including Devon and Cornwall and in the eastern Alps. In the late 1950s he began studies on the mechanism o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Atiyah–Bott Fixed-point Theorem
In mathematics, the Atiyah–Bott fixed-point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed-point theorem for smooth manifolds ''M'', which uses an elliptic complex on ''M''. This is a system of elliptic differential operators on vector bundles, generalizing the de Rham complex constructed from smooth differential forms which appears in the original Lefschetz fixed-point theorem. Formulation The idea is to find the correct replacement for the Lefschetz number, which in the classical result is an integer counting the correct contribution of a fixed point of a smooth mapping f\colon M \to M. Intuitively, the fixed points are the points of intersection of the graph of ''f'' with the diagonal (graph of the identity mapping) in M\times M, and the Lefschetz number thereby becomes an intersection number. The Atiyah–Bott theorem is an equation in which the LHS must be the outcome of a global topological (homological) calcul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leon Bott
Leon Bott (born 19 October 1986 in Canterbury, New South Wales) is an Australian former professional rugby league and union footballer. Early years Bott attended Lurnea Public School, Lurnea High School, Moorebank High School and Westfield Sports High School, making the Australian Schoolboys rugby union team in 2003 & 2004. Career Brisbane Broncos Bott made his debut in the National Rugby League in the 2005 season playing for the Brisbane Broncos, the club he followed as a boy. He signed with the Brisbane Broncos for a reported A$20,000 a year and reportedly turned down a contract from the Sydney Roosters worth around A$350,000 a year. It proved to be worthwhile for Bott who played in 24 games and scored 13 tries for the Broncos including a hat-trick against the St George Dragons in Round 6. At the end of the 2005 season Leon Bott won the Brisbane Broncos 2005 Rookie of the Year Award. He was also nominated for the Dally M Rookie of the Year the same year but missed out to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nina Bott
Nina Bott (born 1 January 1978 in Hamburg) is a German actress. Career Acting Between August 1997 and September 2005, Bott played Cora Hinze Moreno on the popular German soap opera ''Gute Zeiten, schlechte Zeiten''. She then appeared in the period drama ''Unter den Linden – Das Haus Gravenhorst''. She then joined the soap opera ''Alles was zählt'' in 2008 as Celine Laffort, and stayed with the show for more than two years before leaving it with costar Norman Kalle. In March 2011, it was announced that Bott would join her third soap opera, ''Verbotene Liebe'', where, in June of that year, she began playing Julia von Anstetten, a re-casting of one of the show's original characters. Her story takes place on location in Mallorca. Other Bott appeared on the cover of the February, 2002 issue of Playboy magazine's German edition, and appeared again in Playboy's February 2012 issue. With Leonie Lutz, she cowrote a book about pregnancy, with Germany-related advice, called ''Gene ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lloyd Bott
Lloyd Forrester Bott (8 April 1917 – 8 September 2004) was a senior Australian public servant. Early life Lloyd Bott was born on 8 April 1917 in Thornbury, Melbourne. He attended Northcote High School , motto_translation = Let us follow the better path , established = 1926 , address = 19-25 St. Georges Road , city = Northcote , state = Victoria , postcode .... Career After leaving high school, Bott qualified for the Australian Public Service, Commonwealth Public Service in 1933 and went to work in the Post Office in Sydney. He returned to Melbourne a year later and began to study at the University of Melbourne, Bachelor of Commerce, which he completed in 1948 when he returned from the World War II, Second World War, having served in the Australian Navy. After his time as a 'yachtie' based in Dartmouth, Devon, Dartmouth, Bott joined the Department of Supply, rising to become a Deput ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Richard Bott
Richard Bott (born 1968) is a minister of the United Church of Canada who served as the 43rd Moderator of that church from 2018 to 2022. Early life and education Bott was born in Marathon, Ontario and grew up there. Following graduation from high school, he attended University of Ottawa, where he earned his Bachelor of Social Sciences degree in 1990. He then earned his Master of Divinity (M.Div.) degree from Queen's University in 1994. Ministry Following graduation, Bott was ordained as a minister of the United Church. Over the next 24 years he served at five churches in Ontario and British Columbia. During that time, he earned a Diploma in Stewardship Studies from Queen's Theological College (1996), a Certificate in Dispute Resolution from Laurentian University (1998) and a Doctor of Ministry from Ashland Theological Seminary (2003). In 2000, Bott also became a liturgical writer, publishing articles, prayers and liturgy in a variety of Christian publications. Moderat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wilf Bott
Wilfred Bott (25 April 1907 – July 1992) was an English professional footballer who played as a left winger in the Football League. Career Born in Featherstone, Yorkshire, to parents Frederick and Harriet, Bott played for Edlington Colliery Welfare before moving to Football League side Doncaster Rovers in 1927. In his time at Doncaster he scored 33 goals in 120 league and cup games, his last season being the most successful with 17 goals in 28 games including two hat−tricks within three games. His performances brought the attentions of other teams and led to his transfer for a reported "substantial fee" to First Division Huddersfield Town towards the end of the 1930−31 season. Following a very successful period at Huddersfield, Bott went on to have spells at Newcastle United, Queens Park Rangers, Colchester United and Lancaster Town. Honours Club ; Huddersfield Town * Football League First Division The Football League First Division was a division of the Footba ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Catherine Bott
Catherine Bott (born 11 September 1952) is a British soprano and a Baroque specialist. She has also pursued a broadcasting career. Following her studies at The King's High School For Girls and Guildhall School of Music and Drama, with Arthur Reckless, she began her career as a member of the English Baroque-jazz crossover group, The Swingle Singers (then called "Swingle II"). By 1980 she had begun appearing frequently in the New London Consort and thereafter began performing across the world in Europe, Latin America and the USSR with several other period-instrument groups. She has recorded extensively, for example as Dido in Purcell's ''Dido and Aeneas'' (with Christopher Hogwood and the Academy of Ancient Music in 1994), with the choir of King's College, Cambridge conducted by Stephen Cleobury in Bach's '' St. John Passion'', as Venus in John Blow’s '' Venus and Adonis'' with Philip Pickett, and in Monteverdi's ''L'Incoronazione di Poppea'' with Sir John Eliot Gardiner. She a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Borel–Weil–Bott Theorem
In mathematics, the Borel–Weil–Bott theorem is a basic result in the representation theory of Lie groups, showing how a family of representations can be obtained from holomorphic sections of certain complex vector bundles, and, more generally, from higher sheaf cohomology groups associated to such bundles. It is built on the earlier Borel–Weil theorem of Armand Borel and André Weil, dealing just with the space of sections (the zeroth cohomology group), the extension to higher cohomology groups being provided by Raoul Bott. One can equivalently, through Serre's GAGA, view this as a result in complex algebraic geometry in the Zariski topology. Formulation Let be a semisimple Lie group or algebraic group over \mathbb C, and fix a maximal torus along with a Borel subgroup which contains . Let be an integral weight of ; defines in a natural way a one-dimensional representation of , by pulling back the representation on , where is the unipotent radical of . Since we can th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |