Michael Atiyah

Michael Atiyah
Michael Atiyah
	Michael Francis Atiyah
Nascimento	Michael Francis Atiyah; 22 de abril de 1929; Hampstead
Morte	11 de janeiro de 2019 (89 anos); Edimburgo
Sepultamento	Binning Memorial Wood
Cidadania	Reino Unido
Progenitores	Edward Atiyah;
Cônjuge	Lily (Brown) Atiyah
Irmão(ã)(s)	Patrick Atiyah
Alma mater	Trinity College; The Manchester Grammar School; Universidade de Cambridge; Victoria College;
Ocupação	matemático, topologista, professor universitário
Distinções	Medalha Fields (1966); Medalha Copley (In recognition of his fundamental contributions to a wide range of topics in geometry, topology, analysis and theoretical physics., 1988); Prémio Abel (Isadore Singer, 2004); Medalha Real (1968); King Faisal Prize in Science (1987); Medalha De Morgan (1980); Gibbs Lecture (1991); Grande médaille de l’Académie des sciences (2010); Ordem de Mérito (1992); Royal Society Bakerian Medal (1975); doutor honoris causa da Universidade Politécnica da Catalunha (2008); Prêmio Berwick (1961); honorary doctor of the Charles University of Prague; Corresponding Member of the Australian Academy of Science (1992); Membro da Sociedade Real de Edimburgo; Fellow of the Academy of Medical Sciences (honorary fellow, 2000); honorary doctorate of the University of Salamanca (1992); Membro da Sociedade Americana de Matemática (2012, 2013); Membro da Academia Americana de Artes e Ciências; honorary doctor of the Chinese University of Hong Kong; Honorary Doctorate from the National Autonomous University of Mexico; membro da Royal Society; Knight Bachelor (1983); Honorary Fellow of the Learned Society of Wales (2016); IET Kelvin Lecture (2006); Gunning Victoria Jubilee Prize (1988); President's Medal (In recognition of his outstanding contributions to a broad range of topics in mathematics, many of which have provided highly significant foundations to the development of theoretical physics; and of his eminent leadership within the scientific community., 2008); Order of Andrés Bello (1997); Prêmio Antonio Feltrinelli (1981); Medalha Benjamin Franklin (1993); Forder Lectureship (1989); Fellow of the Australian Academy of Science (1992); doutor honoris causa (1995, The Open University);
Empregador(a)	Universidade de Cambridge, Universidade de Oxford, Instituto de Estudos Avançados de Princeton, Universidade de Edimburgo, Exército Britânico, Instituto de Estudos Avançados de Princeton, Universidade de Oxford
Cargo(s)	President of the Royal Society of Edinburgh (2005–2008) presidente da Royal Society (1990–1995) Master of Trinity College, Cambridge (1990–1997) presidente (1974–1976) Cátedra Saviliana de Geometria (1963–1969)
Antecessor	Stewart Sutherland, Baron Sutherland of Houndwood
Sucessor	David Wilson
Antecessor	George Porter
Sucessor	Aaron Klug
Antecessor	David George Kendall
Sucessor	John Cassels
Antecessor	Edward Charles Titchmarsh
Sucessor	Ioan James
Orientador(a)(es/s)	William Vallance Douglas Hodge
Tese	1955: Some Applications of Topological Methods in Algebraic Geometry
Obras destacadas	teorema do índice de Atiyah-Singer, algebroide de Atiyah, sequência espectral de Atiyah–Hirzebruch, Atiyah–Segal completion theorem, Atiyah–Hitchin–Singer theorem, teorema de ponto fixo de Atiyah–Bott, Atiyah–Bott formula, espaço de Atiyah–Hitchin, Atiyah-Jänich theorem, Atiyah conjecture on configurations, Atiyah–Jones conjecture, Atiyah conjecture
	[edite no Wikidata]

Michael Francis Atiyah, OM, FRS (Hampstead, Londres, 22 de abril de 1929 — 11 de janeiro de 2019), foi um matemático britânico de origem libanesa, considerado um dos expoentes da geometria do século XX.

Atiyah foi Professor Saviliano de Geometria em Oxford, mantendo esta carreira de 1963 até 1969, quando foi nomeado professor de matemática no Instituto de Estudos Avançados de Princeton.

Seu trabalho pioneiro em conjunto com Isadore Singer levou à prova do teorema do índice de Atiyah-Singer na década de 1960, resultado que serviu de base para o desenvolvimento de vários ramos da matemática desde então. Foi presidente da Sociedade Real de Edimburgo, de 2005 a 2008.

Também fundou, antes e conjuntamente com Friedrich Hirzebruch, o estudo de outra grande ferramenta da topologia algébrica: a K-teoria topológica. Foi inspirada pelo trabalho de Alexander Grothendieck ao generalizar o teorema de Riemann-Roch, e gerou a K-teoria algébrica e muitas aplicações em física matemática.

Bibliografia

Livros

Esta subseção lista todos os livros escritos por Atiyah; omite alguns livros que ele editou.

Atiyah, Michael F.; Macdonald, Ian G. (1969), Introduction to commutative algebra, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., MR 0242802 . A classic textbook covering standard commutative algebra.
Atiyah, Michael F. (1970), Vector fields on manifolds, Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen, Heft 200, Cologne: Westdeutscher Verlag, MR 0263102 . Reprinted as (Atiyah 1988b, item 50).
Atiyah, Michael F. (1974), Elliptic operators and compact groups, Lecture Notes in Mathematics, Vol. 401, Berlin, New York: Springer-Verlag, MR 0482866 . Reprinted as (Atiyah 1988c, item 78).
Atiyah, Michael F. (1979), Geometry of Yang–Mills fields, Scuola Normale Superiore Pisa, Pisa, MR 554924 . Reprinted as (Atiyah 1988e, item 99).
Atiyah, Michael F.; Hitchin, Nigel (1988), The geometry and dynamics of magnetic monopoles, ISBN 978-0-691-08480-0, M. B. Porter Lectures, Princeton University Press, MR 934202, doi:10.1515/9781400859306 . Reprinted as (Atiyah 2004, item 126).
Atiyah, Michael F. (1988a), Collected works. Vol. 1 Early papers: general papers, ISBN 978-0-19-853275-0, Oxford Science Publications, The Clarendon Press Oxford University Press, MR 951892 .
Atiyah, Michael F. (1988b), Collected works. Vol. 2 K-theory, ISBN 978-0-19-853276-7, Oxford Science Publications, The Clarendon Press Oxford University Press, MR 951892 .
Atiyah, Michael F. (1988c), Collected works. Vol. 3 Index theory: 1, ISBN 978-0-19-853277-4, Oxford Science Publications, The Clarendon Press Oxford University Press, MR 951892 .
Atiyah, Michael F. (1988d), Collected works. Vol. 4 Index theory: 2, ISBN 978-0-19-853278-1, Oxford Science Publications, The Clarendon Press Oxford University Press, MR 951892 .
Atiyah, Michael F. (1988e), Collected works. Vol. 5 Gauge theories, ISBN 978-0-19-853279-8, Oxford Science Publications, The Clarendon Press Oxford University Press, MR 951892 .
Atiyah, Michael F. (1989), K-theory, ISBN 978-0-201-09394-0, Advanced Book Classics 2nd ed. , Addison-Wesley, MR 1043170 . First edition (1967) reprinted as (Atiyah 1988b, item 45).
Atiyah, Michael F. (1990), The geometry and physics of knots, ISBN 978-0-521-39521-2, Lezioni Lincee. [Lincei Lectures], Cambridge University Press, MR 1078014, doi:10.1017/CBO9780511623868 . Reprinted as (Atiyah 2004, item 136).
Atiyah, Michael F. (2004), Collected works. Vol. 6, ISBN 978-0-19-853099-2, Oxford Science Publications, The Clarendon Press Oxford University Press, MR 2160826 .
Atiyah, Michael F. (2007), Siamo tutti matematici (Italian: We are all mathematicians), ISBN 978-88-8323-157-5, Roma: Di Renzo Editore, p. 96
Atiyah, Michael (2014), Collected works. Vol. 7. 2002-2013, ISBN 978-0-19-968926-2, Oxford Science Publications, The Clarendon Press Oxford University Press, MR 3223085 .
Atiyah, Michael F.; Iagolnitzer, Daniel; Chong, Chitat (2015), Fields Medallists' Lectures (3rd Edition), ISBN 978-981-4696-18-0, World Scientific, doi:10.1142/9652 .

Artigos selecionados (em inglês)

Atiyah, Michael F. (1961), «Characters and cohomology of finite groups», Inst. Hautes Études Sci. Publ. Math., 9: 23–64, doi:10.1007/BF02698718 . Reprinted in (Atiyah 1988b, paper 29).
Atiyah, Michael F.; Hirzebruch, Friedrich (1961), «Vector bundles and homogeneous spaces», ISBN 9780821814031, Proc. Sympos. Pure Math. AMS, Proceedings of Symposia in Pure Mathematics, 3: 7–38, doi:10.1090/pspum/003/0139181 . Reprinted in (Atiyah 1988b, paper 28).
Atiyah, Michael F.; Segal, Graeme B. (1969), «Equivariant K-Theory and Completion», Journal of Differential Geometry, 3 (1–2): 1–18, doi:10.4310/jdg/1214428815 . Reprinted in (Atiyah 1988b, paper 49).
Atiyah, Michael F. (1976), «Elliptic operators, discrete groups and von Neumann algebras», Colloque "Analyse et Topologie" en l'Honneur de Henri Cartan (Orsay, 1974), Asterisque, 32–33, Soc. Math. France, Paris, pp. 43–72, MR 0420729 . Reprinted in (Atiyah 1988d, paper 89). Formulation of the Atiyah "Conjecture" on the rationality of the L²-Betti numbers.
Atiyah, Michael F.; Singer, Isadore M. (1963), «The Index of Elliptic Operators on Compact Manifolds», Bull. Amer. Math. Soc., 69 (3): 322–433, doi:10.1090/S0002-9904-1963-10957-X . An announcement of the index theorem. Reprinted in (Atiyah 1988c, paper 56).
Atiyah, Michael F.; Singer, Isadore M. (1968a), «The Index of Elliptic Operators I», Annals of Mathematics, 87 (3): 484–530, JSTOR 1970715, doi:10.2307/1970715 . This gives a proof using K theory instead of cohomology. Reprinted in (Atiyah 1988c, paper 64).
Atiyah, Michael F.; Segal, Graeme B. (1968), «The Index of Elliptic Operators: II», Annals of Mathematics, Second Series, 87 (3): 531–545, JSTOR 1970716, doi:10.2307/1970716 . This reformulates the result as a sort of Lefschetz fixed point theorem, using equivariant K theory. Reprinted in (Atiyah 1988c, paper 65).
Atiyah, Michael F.; Singer, Isadore M. (1968b), «The Index of Elliptic Operators III», Annals of Mathematics, Second Series, 87 (3): 546–604, JSTOR 1970717, doi:10.2307/1970717 . This paper shows how to convert from the K-theory version to a version using cohomology. Reprinted in (Atiyah 1988c, paper 66).
Atiyah, Michael F.; Singer, Isadore M. (1971), «The Index of Elliptic Operators IV», Annals of Mathematics, Second Series, 93 (1): 119–138, JSTOR 1970756, doi:10.2307/1970756 This paper studies families of elliptic operators, where the index is now an element of the K-theory of the space parametrizing the family. Reprinted in (Atiyah 1988c, paper 67).
Atiyah, Michael F.; Singer, Isadore M. (1971), «The Index of Elliptic Operators V», Annals of Mathematics, Second Series, 93 (1): 139–149, JSTOR 1970757, doi:10.2307/1970757 . This studies families of real (rather than complex) elliptic operators, when one can sometimes squeeze out a little extra information. Reprinted in (Atiyah 1988c, paper 68).
Atiyah, Michael F.; Bott, Raoul (1966), «A Lefschetz Fixed Point Formula for Elliptic Differential Operators», Bull. Am. Math. Soc., 72 (2): 245–50, doi:10.1090/S0002-9904-1966-11483-0 . This states a theorem calculating the Lefschetz number of an endomorphism of an elliptic complex. Reprinted in (Atiyah 1988c, paper 61).
Atiyah, Michael F.; Bott, Raoul (1967), «A Lefschetz Fixed Point Formula for Elliptic Complexes: I», Annals of Mathematics, Second Series, 86 (2): 374–407, JSTOR 1970694, doi:10.2307/1970694 (reprinted in (Atiyah 1988c, paper 61))and Atiyah, Michael F.; Bott, Raoul (1968), «A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications», Annals of Mathematics, Second Series, 88 (3): 451–491, JSTOR 1970721, doi:10.2307/1970721 . Reprinted in (Atiyah 1988c, paper 62). These give the proofs and some applications of the results announced in the previous paper.
Atiyah, Michael F.; Bott, Raoul; Patodi, Vijay K. (1973), «On the heat equation and the index theorem» (PDF), Invent. Math., 19 (4): 279–330, Bibcode:1973InMat..19..279A, MR 0650828, doi:10.1007/BF01425417 ; Atiyah, Michael F.; Bott, R.; Patodi, V. K. (1975), «Errata», Invent. Math., 28 (3): 277–280, Bibcode:1975InMat..28..277A, MR 0650829, doi:10.1007/BF01425562 Reprinted in (Atiyah 1988d, paper 79, 79a).
Atiyah, Michael F.; Schmid, Wilfried (1977), «A geometric construction of the discrete series for semisimple Lie groups», Invent. Math., 42: 1–62, Bibcode:1977InMat..42....1A, MR 0463358, doi:10.1007/BF01389783 ; Atiyah, Michael F.; Schmid, Wilfried (1979), «Erratum», Invent. Math., 54 (2): 189–192, Bibcode:1979InMat..54..189A, MR 0550183, doi:10.1007/BF01408936 . Reprinted in (Atiyah 1988d, paper 90).
Atiyah, Michael (2010), Edinburgh Lectures on Geometry, Analysis and Physics, Bibcode:2010arXiv1009.4827A, arXiv:1009.4827v1

Prêmios

Referências

↑ Michael Atiyah (em inglês) no Mathematics Genealogy Project
↑ «Michael Atiyah 1929-2019». University of Oxford Mathematical Institute. 11 de janeiro de 2019
↑ «A tribute to former President of the Royal Society Sir Michael Atiyah OM FRS (1929 - 2019)». The Royal Society. 11 de janeiro de 2019

Ligações externas

Michael Atiyah (em inglês) no Mathematics Genealogy Project
«Gazeta Matemática - A Matemática no Século XX» (PDF)
«Unibocconi - A Michael F. Atiyah e Isadore M. Singer il Premio ABEL 2004» (em italiano)

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Precedido por Lars Hörmander e John Milnor	Medalha Fields 1966 com Paul Cohen, Alexander Grothendieck e Stephen Smale	Sucedido por Alan Baker, Heisuke Hironaka, Sergei Novikov e John Griggs Thompson
Precedido por Joseph Hutchinson, John Zachary Young e Cecil Edgar Tilley	Medalha Real 1968 com Gilbert Roberts e Walter Thomas James Morgan	Sucedido por Charles William Oatley, Frederick Sanger e George Deacon
Precedido por Claude Ambrose Rogers	Medalha De Morgan 1980	Sucedido por Klaus Friedrich Roth
Precedido por Robert Hill	Medalha Copley 1988	Sucedido por César Milstein
Precedido por Jean-Pierre Serre	Prêmio Abel 2004 com Isadore Singer	Sucedido por Peter Lax

[1] Michael Atiyah (em inglês) no Mathematics Genealogy Project

[oxford-death-2] «Michael Atiyah 1929-2019». University of Oxford Mathematical Institute. 11 de janeiro de 2019

[royal-society-death-3] «A tribute to former President of the Royal Society Sir Michael Atiyah OM FRS (1929 - 2019)». The Royal Society. 11 de janeiro de 2019

v d e Cátedra Saviliana
Cátedras estabelecidas por Sir Henry Savile
Astronomia	John Bainbridge (1620) John Greaves (1642) Seth Ward (1649) Christopher Wren (1661) Edward Bernard (1673) David Gregory (1691) John Caswell (1709) John Keill (1712) James Bradley (1721) Thomas Hornsby (1763) Abraham Robertson (1810) Stephen Rigaud (1827) George Johnson (1839) William Donkin (1842) Charles Pritchard (1870) Herbert Turner (1893) Harry Plaskett (1932) Donald Blackwell (1960) George Efstathiou (1994) Joseph Silk (1999) Steven Balbus (2012)
Geometria	Henry Briggs (1619) Peter Turner (1631) John Wallis (1649) Edmond Halley (1704) Nathaniel Bliss (1742) Joseph Betts (1765) John Smith (1766) Abraham Robertson (1797) Stephen Peter Rigaud (1810) Baden Powell (1827) Henry John Stephen Smith (1861) James Joseph Sylvester (1883) William Esson (1897) Godfrey Harold Hardy (1920) Edward Charles Titchmarsh (1931) Michael Atiyah (1963) Ioan James (1969) Richard Taylor (1995) Nigel Hitchin (1997) Frances Kirwan (2017)

v d e Presidentes da Royal Society
Século XVII	1660–1662: Robert Moray 1662–1677: William Brouncker 1677–1680: Joseph Williamson 1680–1682: Christopher Wren 1682–1683: John Hoskins 1683–1684: Cyril Wyche 1684–1686: Samuel Pepys 1686–1689: John Vaughan 1689–1690: Thomas Herbert 1690–1695: Robert Southwell 1695–1698: Charles Montagu
Século XVIII	1698–1703: John Somers 1703–1727: Isaac Newton 1727–1741: Hans Sloane 1741–1752: Martin Folkes 1752–1764: George Parker 1764–1768: James Douglas 1768: James Burrow 1768–1772: James West 1772: James Burrow 1772–1778: John Pringle
Século XIX	1778–1820: Joseph Banks 1820: William Hyde Wollaston 1820–1827: Humphry Davy 1827–1830: Davies Gilbert 1830–1838: Augustus Frederick 1838–1848: Joshua Alwyne Compton 1848–1854: William Parsons 1854–1858: John Wrottesley 1858–1861: Benjamin Collins Brodie 1861–1871: Edward Sabine 1871–1873: George Biddell Airy 1873–1878: Joseph Dalton Hooker 1878–1883: William Spottiswoode 1883–1885: Thomas Henry Huxley 1885–1890: George Gabriel Stokes 1890–1895: William Thomson 1895–1900: Joseph Lister
Século XX	1900–1905: William Huggins 1905–1908: John William Strutt 1908–1913: Archibald Geikie 1913–1915: William Crookes 1915–1920: Joseph John Thomson 1920–1925: Charles Scott Sherrington 1925–1930: Ernest Rutherford 1930–1935: Frederick Gowland Hopkins 1935–1940: William Henry Bragg 1940–1945: Henry Hallett Dale 1945–1950: Robert Robinson 1950–1955: Edgar Douglas Adrian 1955–1960: Cyril Norman Hinshelwood 1960–1965: Howard Walter Florey 1965–1970: Patrick Maynard Stuart Blackett 1970–1975: Alan Hodgkin 1975–1980: Alexander Todd 1980–1985: Andrew Huxley 1985–1990: George Porter 1990–1995: Michael Atiyah 1995–2000: Aaron Klug
Século XXI	2000–2005: Robert May 2005–2010: Martin Rees 2010–2015: Paul Nurse 2015–2020: Venkatraman Ramakrishnan 2020–: Adrian Smith

v d e Presidentes da Sociedade Real de Edimburgo
Século XIX	Henry Scott James Hall Walter Scott Thomas Makdougall Brisbane Duque de Argyll David Brewster Robert Christison William Thomson Philip Kelland Lord Moncreiff de Tullibole Thomas Stevenson William Thomson Douglas Maclagan
Século XX	William Thomson William Turner Thiselton-Dyer James Geikie John Horne Frederick Orpen Bower James Alfred Ewing Edward Albert Sharpey-Schafer D'Arcy Wentworth Thompson E. T. Whittaker William Wright Smith James Kendall James Ritchie J. Norman Davidson Edmund Hirst J. Norman Davidson Norman Feather Maurice Yonge Lorde Cameron R. A. Smith Kenneth Blaxter John Atwell Alwyn Williams Charles Kemball Alastair Currie Thomas L. Johnston Malcolm Jeeves
Século XXI	William Stewart Stewart Ross Sutherland Michael Atiyah