Michael Atiyah

Michael Atiyah
Date personale
Nume la naștere	Michael Francis Atiyah
Născut	22 aprilie 1929 Hampstead⁠(d), Anglia, Regatul Unit
Decedat	11 ianuarie 2019 (89 de ani) Edinburgh, Scoția, Regatul Unit
Înmormântat	Binning Memorial Wood[*][[Binning Memorial Wood (cemetery in East Lothian, Scotland)|​]]
Părinți	Edward Atiyah[*][[Edward Atiyah (British writer and political activist)|​]]
Frați și surori	Patrick Atiyah[*][[Patrick Atiyah (jurist britanic)|​]]
Căsătorit cu	Lily (Brown) Atiyah[*][[Lily (Brown) Atiyah (Ph.D. University of Cambridge 1955)|​]]
Cetățenie	Regatul Unit
Ocupație	matematician topolog[*]​ cadru didactic universitar[*]​
Locul desfășurării activității	Oxford Cambridge
Limbi vorbite	limba engleză
Activitate
Domeniu	topologie matematică geometrie
Număr Erdős	4
Instituție	Universitatea Cambridge Universitatea Oxford Institute for Advanced Study Universitatea din Edinburgh Armata Britanică Institute for Advanced Study Universitatea Oxford
Alma Mater	Trinity College The Manchester Grammar School[*][[The Manchester Grammar School (school in Manchester, UK)|​]] Universitatea Cambridge Victoria College[*][[Victoria College (school in Alexandria, Egypt)|​]]
Organizații	Societatea Regală din Londra Academia Leopoldină Academia Franceză de Științe Det Norske Videnskaps-Akademi[*][[Det Norske Videnskaps-Akademi (academy of sciences)|​]] Accademia Nazionale dei Lincei American Mathematical Society Academia Națională de Științe a Statelor Unite ale Americii[*]​ Academia Regală Suedeză de Științe Academia Națională de Științe a Ucrainei[*]​ Academia Americană de Arte și Științe[*]​ Australian Academy of Science[*][[Australian Academy of Science (academy of sciences)|​]] Academia Rusă de Științe Royal Society of Edinburgh[*][[Royal Society of Edinburgh (academy of sciences)|​]] Academia Națională Indiană de Științe[*]​ Academia Europaea[*]​ TWAS, the academy of sciences for the developing world[*][[TWAS, the academy of sciences for the developing world (merit-based science academy)|​]]
Conducător de doctorat	W. V. D. Hodge[*][[W. V. D. Hodge (matematician britanic)|​]]
Doctoranzi	Simon Donaldson[*][[Simon Donaldson (English mathematician and Fields medalist)|​]] Nigel Hitchin[*]​ Graeme Segal[*][[Graeme Segal (mathematician)|​]] George Lusztig Peter B. Kronheimer[*][[Peter B. Kronheimer (matematician britanic)|​]] Ian R. Porteous[*][[Ian R. Porteous (Scottish mathematician at the University of Liverpool and an educator on Merseyside (1930-2011))|​]] K. David Elworthy[*][[K. David Elworthy (matematician britanic)|​]] Lisa Jeffrey[*][[Lisa Jeffrey (matematiciană canadiană)|​]] Brian Joseph Sanderson[*][[Brian Joseph Sanderson (Ph.D. University of Liverpool 1963)|​]] John Roe[*][[John Roe (matematician britanic)|​]] ...încă 15
Cunoscut pentru	Atiyah–Singer index theorem[*][[Atiyah–Singer index theorem (theorem that the difference between the dimensions of the kernel and cokernel of a differential operator on a manifold is the integral of a characteristic class)|​]] Atiyah algebroid[*][[Atiyah algebroid (Lie algebroid associated to a principal bundle)|​]] Atiyah–Hirzebruch spectral sequence[*][[Atiyah–Hirzebruch spectral sequence (computational tool from homological algebra)|​]] Atiyah–Segal completion theorem[*][[Atiyah–Segal completion theorem (Mathematical result about equivariant K-theory in homotopy theory)|​]] Atiyah–Hitchin–Singer theorem[*][[Atiyah–Hitchin–Singer theorem (the theorem that the space of SU(2) anti self dual Yang–Mills fields on a 4-sphere with index k > 0 has dimension 8k – 3)|​]] Atiyah–Bott fixed-point theorem[*][[Atiyah–Bott fixed-point theorem (theorem)|​]] Atiyah–Bott formula[*][[Atiyah–Bott formula |​]] Atiyah–Hitchin space[*][[Atiyah–Hitchin space (4-dimensional, asymptotically locally flat (ALF) hyperkähler manifold, which is the moduli space of two monopoles in the SU(2) Bogomolny equation)|​]] Atiyah-Jänich theorem[*][[Atiyah-Jänich theorem (mathematical theorem in functional analysis)|​]] Atiyah conjecture on configurations[*][[Atiyah conjecture on configurations (Mathematical conjecture)|​]] Atiyah–Jones conjecture[*][[Atiyah–Jones conjecture (theorem about the homology of the moduli space of instantons over a sphere, conjectured by M. F. Atiyah and J. D. S. Jones (1978), proved by C. P. Boyer, J. C. Hurtubise, and B. M. Mann et al. (1998, 1999))|​]] Atiyah conjecture[*][[Atiyah conjecture |​]]
Premii	Medalia Fields (1966) Medalia Copley (1988) Premiul Abel (2004) Royal Medal (1968) King Faisal International Prize in Science[*][[King Faisal International Prize in Science |​]] (1987) De Morgan Medal[*][[De Morgan Medal (most prestigious award of the London Mathematical Society)|​]] (1980) Josiah Willard Gibbs Lectureship[*][[Josiah Willard Gibbs Lectureship |​]] (1991) grande médaille de l'Académie des sciences[*][[grande médaille de l'Académie des sciences |​]] (2010) Ordinul de Merit[*]​ (1992) Royal Society Bakerian Medal[*][[Royal Society Bakerian Medal (English award in physical sciences)|​]] (1975) doctor honoris causa por la Universidad Politécnica de Cataluña[*][[doctor honoris causa por la Universidad Politécnica de Cataluña (Spanish award)|​]] (2008) Berwick Prize[*][[Berwick Prize (award)|​]] (1961) Čestný doktorát Univerzity Karlovy[*][[Čestný doktorát Univerzity Karlovy |​]] Corresponding Member of the Australian Academy of Science[*][[Corresponding Member of the Australian Academy of Science |​]] (1992) Fellow al Societății Regale din Edinburgh[*]​ Fellow of the Academy of Medical Sciences[*][[Fellow of the Academy of Medical Sciences (recognition)|​]] doctor honoris causa por la Universidad de Salamanca[*][[doctor honoris causa por la Universidad de Salamanca |​]] (1992) Fellow of the American Mathematical Society[*][[Fellow of the American Mathematical Society (fellowship of the American Mathematical Society)|​]] (2013) Membru al Academiei Americane de Arte și Științe[*]​ honorary doctor of the Chinese University of Hong Kong[*][[honorary doctor of the Chinese University of Hong Kong |​]] doctorado honoris causa por la Universidad Nacional Autónoma de México[*][[doctorado honoris causa por la Universidad Nacional Autónoma de México (award)|​]] Membru al Societății Regale[*]​ Knight Bachelor[*][[Knight Bachelor (title granted to a man who has been knighted by the British monarch but not inducted as a member of one of the organised orders of chivalry)|​]] (1983) honorary Fellow of the Learned Society of Wales[*][[honorary Fellow of the Learned Society of Wales (fellowship)|​]] (2016) IET Kelvin Lecture[*][[IET Kelvin Lecture (IET lecture)|​]] (2006) Gunning Victoria Jubilee Prize[*][[Gunning Victoria Jubilee Prize (Prize awarded by the Royal Society of Edinburgh)|​]] (1990) President's Medal[*][[President's Medal (award from Institute of Physics)|​]] (2008) Orden de Andrés Bello[*][[Orden de Andrés Bello |​]] (1997) premiul Feltrinelli[*]​ (1981) Medalia Benjamin Franklin[*]​ (1993) Forder Lectureship[*][[Forder Lectureship (award conferred by the London Mathematical Society)|​]] (1989) Fellow of the Australian Academy of Science[*][[Fellow of the Australian Academy of Science (Fellowship of the Australian Academy of Science)|​]] (1992)

Sir Michael Francis Atiyah (n. 22 aprilie 1929, Hampstead^⁠(d), Anglia, Regatul Unit – d. 11 ianuarie 2019, Edinburgh, Scoția, Regatul Unit) a fost un matematician britanic cu rădăcini libaneze, unul dintre cei mai importanți ai secolului XX.

Este cunoscut în special pentru lucrările sale de topologie algebrică și analiză matematică.

A colaborat cu mai mulți matematicieni, printre care Raoul Bott, Isadore Singer și Friedrich Hirzebruch. Cu acesta din urmă a pus bazele Teoriei K din domeniul spațiilor topologice. Dar cea mai valoroasă contribuție a sa o constituie Teorema indicelui Atiyah-Singer, care indică numărul de soluții independente ale anumitor tipuri de ecuații diferențiale.

Lucrări scrise

Cărți

Această subsecțiune enumeră toate cărțile scrise de Atiyah; omite câteva cărți pe care le-a editat.

• Atiyah, Michael F.; Macdonald, Ian G.,  . A classic textbook covering standard commutative algebra.
• Atiyah, Michael F.,  . Reprinted as (Atiyah 1988b, item 50).
• Atiyah, Michael F.,  . Reprinted as (Atiyah 1988c, item 78).
• Atiyah, Michael F.,  . Reprinted as (Atiyah 1988e, item 99).
• Atiyah, Michael F.; Hitchin, Nigel,  . Reprinted as (Atiyah 2004, item 126).
• Atiyah, Michael F. (1988), Collected works. Vol. 1 Early papers: general papers, Oxford Science Publications, The Clarendon Press Oxford University Press, ISBN 978-0-19-853275-0, MR 0951892 .
• Atiyah, Michael F. (1988), Collected works. Vol. 2 K-theory, Oxford Science Publications, The Clarendon Press Oxford University Press, ISBN 978-0-19-853276-7, MR 0951892 .
• Atiyah, Michael F. (1988), Collected works. Vol. 3 Index theory: 1, Oxford Science Publications, The Clarendon Press Oxford University Press, ISBN 978-0-19-853277-4, MR 0951892 .
• Atiyah, Michael F. (1988), Collected works. Vol. 4 Index theory:2, Oxford Science Publications, The Clarendon Press Oxford University Press, ISBN 978-0-19-853278-1, MR 0951892 .
• Atiyah, Michael F. (1988), Collected works. Vol. 5 Gauge theories, Oxford Science Publications, The Clarendon Press Oxford University Press, ISBN 978-0-19-853279-8, MR 0951892 .
• Atiyah, Michael F.,  . First edition (1967) reprinted as (Atiyah 1988b, item 45).
• Atiyah, Michael F.,  . Reprinted as (Atiyah 2004, item 136).
• Atiyah, Michael F.,  .
• Atiyah, Michael F.,  
• Atiyah, Michael F.; Iagolnitzer, Daniel; Chong, Chitat,  .

Lucrări selectate

• Atiyah, Michael F.,  . Reprinted in (Atiyah 1988b, paper 29).
• Atiyah, Michael F.; Hirzebruch, Friedrich,  . Reprinted in (Atiyah 1988b, paper 28).
• Atiyah, Michael F.; Segal, Graeme B.,  . Reprinted in (Atiyah 1988b, paper 49).
• Atiyah, Michael F.,  . 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.,  . An announcement of the index theorem. Reprinted in (Atiyah 1988c, paper 56).
• Atiyah, Michael F.; Singer, Isadore M. (1968), „The Index of Elliptic Operators I”, Annals of Mathematics, The Annals of Mathematics, Vol. 87, No. 3, 87 (3): 484–530, doi:10.2307/1970715, JSTOR 1970715 . This gives a proof using K theory instead of cohomology. Reprinted in (Atiyah 1988c, paper 64).
• Atiyah, Michael F.; Segal, Graeme B.,  . 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. (1968), „The Index of Elliptic Operators III”, Annals of Mathematics, Second Series, 87 (3): 546–604, doi:10.2307/1970717, JSTOR 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.,   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.,  . 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,  . 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,   (reprinted in (Atiyah 1988c, paper 61))and Atiyah, Michael F.; Bott, Raoul,  . 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.,  ; Atiyah, Michael F.; Bott, R.; Patodi, V. K.,   Reprinted in (Atiyah 1988d, paper 79, 79a).
• Atiyah, Michael F.; Schmid, Wilfried,  ; Atiyah, Michael F.; Schmid, Wilfried,  . Reprinted in (Atiyah 1988d, paper 90).
• Atiyah, Michael,  

Premii și distincții

• 1966: Medalia Fields
• 1968: Royal Medal din partea Royal Society
• 1981: Premiul Antonio-Feltrinelli din partea Accademia Nazionale dei Lincei
• 1987: Premiul Internațional König-Faisal pentru Știință
• 1983: numit cavaler
• 1988: Medalia Copley
• 1992: devine membru al ordinului britanic Order of Merit
• 2004: Premiul Abel.

Bibliografie

• Boyer, Charles P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J.,  
• Barth, Wolf P.; Hulek, Klaus; Peters, Chris A.M.; Van de Ven, Antonius,  
• Gel'fand, Israel M.,  . Reprinted in volume 1 of his collected works, p. 65–75, ISBN: 0-387-13619-3. On page 120 Gel'fand suggests that the index of an elliptic operator should be expressible in terms of topological data.
• Harder, G.; Narasimhan, M. S.,  
• Matsuki, Kenji,  
• Palais, Richard S.,  . This describes the original proof of the index theorem. (Atiyah and Singer never published their original proof themselves, but only improved versions of it.)
• Segal, Graeme B.,  .
• Yau, Shing-Tung; Chan, Raymond H. (ed.),  .
• Yau, Shing-Tung (ed.),  .

Legături externe

• Michael Atiyah tells his life story at Web of Stories
• The celebrations of Michael Atiyah's 80th birthday in Edinburgh, 20-24 April 2009
• Mathematical descendants of Michael Atiyah
• „Sir Michael Atiyah on math, physics and fun”, superstringtheory.com, Official Superstring theory web site], arhivat din original la 14 septembrie 2008, accesat în 14 august 2008 
• Atiyah, Michael, Beauty in Mathematics (video, 3m14s), arhivat din original la 26 mai 2011, accesat în 14 august 2008 
• Atiyah, Michael, The nature of space (Online lecture), arhivat din original la 3 august 2020, accesat în 14 august 2008 
• Batra, Amba (8 noiembrie 2003), Maths guru with Einstein's dream prefers chalk to mouse. (Interview with Atiyah.), Delhi newsline, accesat în 14 august 2008 
• Michael Atiyah at the Mathematics Genealogy Project
• Halim, Hala,  
• Meek, James (21 aprilie 2004), „Interview with Michael Atiyah”, The Guardian, London, accesat în 14 august 2008 
• Sir Michael Atiyah FRS, Isaac Newton Institute, arhivat din original la 31 mai 2008, accesat în 14 august 2008 
• „Atiyah and Singer receive 2004 Abel prize” (PDF), Notices of the American Mathematical Society, 51 (6): 650–651 
• Raussen, Martin; Skau, Christian (24 mai 2004), Interview with Michael Atiyah and Isadore Singer, accesat în 14 august 2008 
• Photos of Michael Francis Atiyah, Oberwolfach photo collection, accesat în 14 august 2008 
• Wade, Mike (21 aprilie 2009), Maths and the bomb: Sir Michael Atiyah at 80, London: Timesonline, accesat în 12 mai 2010 
• List of works of Michael Atiyah from Celebratio Mathematica