Jump to content

Yuri Manin

From Wikipedia, the free encyclopedia

Yuri Manin
Юрий Манин
Manin in 2006
Born
Yuri Ivanovich Manin

(1937-02-16)16 February 1937
Simferopol,Crimean ASSR, Russian SFSR, Soviet Union
Died7 January 2023(2023-01-07)(aged 85)
Bonn,Germany[1]
NationalityRussian
Alma mater
Known forManin conjecture
Manin matrix
Manin obstruction
Manin triple
Manin–Drinfeld theorem
Manin–Mumford conjecture
ADHM construction
Gauss–Manin connection
Cartier–Manin operator
CH-quasigroup
Modular symbol
Quantum simulator
Awards
Scientific career
FieldsMathematics
Institutions
Doctoral advisorIgor Shafarevich
Doctoral students

Yuri Ivanovich Manin(Russian:Ю́рий Ива́нович Ма́нин;16 February 1937 – 7 January 2023) was a Russian mathematician, known for work inalgebraic geometryanddiophantine geometry,and many expository works ranging frommathematical logictotheoretical physics.

Life and career

[edit]

Manin was born on 16 February 1937 inSimferopol,Crimean ASSR, Soviet Union.[2]

He received a doctorate in 1960 at theSteklov Mathematics Instituteas a student ofIgor Shafarevich.He became a professor at theMax-Planck-Institut für MathematikinBonn,where he was director from 1992 to 2005 and then director emeritus.[3][2]He was also a Trustee Chair Professor atNorthwestern Universityfrom 2002 to 2011.[4]

He had over the years more than 40 doctoral students, includingVladimir Berkovich,Mariusz Wodzicki,Alexander Beilinson,Ivan Cherednik,Alexei Skorobogatov,Vladimir Drinfeld,Mikhail Kapranov,Vyacheslav Shokurov,Ralph Kaufmann,Victor Kolyvagin,Alexander A. Voronov,andHà Huy Khoái.[5]

Manin died on 7 January 2023.[2]

Research

[edit]

Manin's early work included papers on the arithmetic andformal groupsofabelian varieties,theMordell conjecturein thefunction fieldcase, andalgebraic differential equations.TheGauss–Manin connectionis a basic ingredient of the study ofcohomologyin families ofalgebraic varieties.[6][7]

He developed theManin obstruction,indicating the role of theBrauer groupin accounting for obstructions to theHasse principleviaGrothendieck's theory of globalAzumaya algebras,setting off a generation of further work.[8][9]

Manin pioneered the field ofarithmetic topology(along withJohn Tate,David Mumford,Michael Artin,andBarry Mazur).[10]He also formulated theManin conjecture,which predicts the asymptotic behaviour of the number of rational points of bounded height on algebraic varieties.[11]

In mathematical physics, Manin wrote onYang–Mills theory,quantum information,andmirror symmetry.[12][13]He was one of the first to propose the idea of aquantum computerin1980with his bookComputable and Uncomputable.[14]

He wrote a book oncubic surfacesandcubic forms,showing how to apply both classical and contemporary methods of algebraic geometry, as well asnonassociative algebra.[15]

Awards

[edit]

He was awarded theBrouwer Medalin 1987, the firstNemmers Prize in Mathematicsin 1994, theSchock Prizeof theRoyal Swedish Academy of Sciencesin 1999, theCantor Medalof theGerman Mathematical Societyin 2002, theKing Faisal International Prizein 2002, and theBolyai Prizeof theHungarian Academy of Sciencesin 2010.[2]

In 1990, he became a foreign member of theRoyal Netherlands Academy of Arts and Sciences.[16]He was a member of eight other academies of science and was also an honorary member of theLondon Mathematical Society.[2]

Selected works

[edit]

See also

[edit]

References

[edit]
  1. ^Fedor Bogomolov; Yuri Tschinkel, eds. (December 2023)."Memorial Article for Yuri Manin"(PDF).Notices of the American Mathematical Society.70(11): 1831–1849.doi:10.1090/noti2814.
  2. ^abcde"Max Planck Institute for Mathematics in Bonn Mourns Death of Yuri Manin".Max Planck Institute for Mathematics.8 January 2023.Retrieved8 January2023.
  3. ^"Yuri Manin | Max Planck Institute for Mathematics".www.mpim-bonn.mpg.de.Retrieved6 August2018.
  4. ^"Yuri Manin – Northwestern University".math.northwestern.edu.Retrieved20 May2024.
  5. ^Yuri Maninat theMathematics Genealogy Project
  6. ^Manin, Ju. I.(1958),"Algebraic curves over fields with differentiation",Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya(in Russian),22:737–756,MR0103889English translation inManin, Ju. I. (1964) [1958], "Algebraic curves over fields with differentiation",American Mathematical Society translations: 22 papers on algebra, number theory and differential geometry,vol. 37, Providence, R.I.:American Mathematical Society,pp. 59–78,ISBN978-0-8218-1737-7,MR0103889
  7. ^"Gauss-Manin connection",Encyclopedia of Mathematics,EMS Press,2001 [1994]
  8. ^Serge Lang(1997).Survey of Diophantine geometry.Springer-Verlag.pp. 250–258.ISBN3-540-61223-8.Zbl0869.11051.
  9. ^Alexei N. Skorobogatov (1999). "Beyond the Manin obstruction".Inventiones Mathematicae.135(2). Appendix A by S. Siksek: 4-descent: 399–424.arXiv:alg-geom/9711006.Bibcode:1999InMat.135..399S.doi:10.1007/s002220050291.S2CID14285244.Zbl0951.14013.
  10. ^Morishita, Masanori (2012). "Introduction".Knots and Primes.Universitext. London:Springer.pp. 1–7.doi:10.1007/978-1-4471-2158-9_1.ISBN978-1-4471-2157-2.
  11. ^ Franke, J.;Manin, Y. I.;Tschinkel, Y. (1989). "Rational points of bounded height on Fano varieties".Inventiones Mathematicae.95(2): 421–435.Bibcode:1989InMat..95..421F.doi:10.1007/bf01393904.MR0974910.S2CID121044839.Zbl0674.14012.
  12. ^Atiyah, Michael;Drinfeld, Vladimir;Hitchin, Nigel;Manin, Yuri (1978). "Construction of instantons".Physics Letters A.65(3): 185–187.Bibcode:1978PhLA...65..185A.doi:10.1016/0375-9601(78)90141-X.
  13. ^Devchand, Chandrashekar; Ogievetsky, Victor I. (1996). "Integrability of N=3 super Yang-Mills equations".Topics in statistical and theoretical physics.Amer. Math. Soc. Transl. Ser. 2. Vol. 177. Providence, RI:American Mathematical Society.pp. 51–58.
  14. ^abManin, Yu. I. (1980).Vychislimoe i nevychislimoe[Computable and Noncomputable] (in Russian). Sov.Radio. pp. 13–15. Archived fromthe originalon 10 May 2013.Retrieved4 March2013.
  15. ^Manin:Cubic forms – algebra, geometry, arithmetics,North Holland 1986
  16. ^"Y.I. Manin".Royal Netherlands Academy of Arts and Sciences.Retrieved19 July2015.
  17. ^Getzler, Ezra (2001)."Review:Frobenius manifolds, quantum cohomology, and moduli spacesby Yuri I. Manin ".Bull. Amer. Math. Soc.(N.S.).38(1): 101–108.doi:10.1090/S0273-0979-00-00888-0.
  18. ^Penkov, Ivan (1993)."Review:Topics in non-commutative geometryby Yuri I. Manin ".Bull. Amer. Math. Soc. (N.S.).29(1): 106–111.doi:10.1090/S0273-0979-1993-00391-4.
  19. ^LeBrun, Claude(1989)."Review:Gauge field theory and complex geometryby Yuri I. Manin; trans. by N. Koblitz and J. R. King ".Bull. Amer. Math. Soc. (N.S.).21(1): 192–196.doi:10.1090/S0273-0979-1989-15816-3.
  20. ^Shoenfield, J. R. (1979)."Review:A course in mathematical logicby Yu. I Manin "(PDF).Bull. Amer. Math. Soc. (N.S.).1(3): 539–541.doi:10.1090/s0273-0979-1979-14613-5.


Further reading

[edit]
[edit]
Wikiquote has quotations related toYuri Manin.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Yuri_Manin&oldid=1235594782"