| 词条 | Alain Connes |
| 释义 |
|name = Alain Connes |image = Alain_Connes.jpg |alt = Photo of the upper body of Alain Connes with vegetation, blue sky, and clouds in the background |caption = Alain Connes in 2004 |birth_date = {{birth date and age|1947|04|01|df=y}} |birth_place = Draguignan, France |death_date = |death_place = |nationality = French |field = Mathematics |work_institutions = IHÉS, France |alma_mater = École Normale Supérieure Pierre and Marie Curie University |doctoral_advisor = Jacques Dixmier |doctoral_students = Georges Skandalis |known_for = Baum–Connes conjecture Noncommutative geometry Operator algebras Thermal time hypothesis |prizes = CNRS Silver Medal (1977) Prize Ampère (1980) Fields Medal (1982) Clay Research Award (2000) Crafoord Prize (2001) CNRS Gold medal (2004) |footnotes = }}Alain Connes ({{IPA-fr|alɛ̃ kɔn|lang}}; born 1 April 1947) is a French mathematician, currently Professor at the Collège de France, IHÉS, Ohio State University and Vanderbilt University. He was an Invited Professor at the Conservatoire national des arts et métiers (2000).[1] WorkAlain Connes studies operator algebras. In his early work on von Neumann algebras in the 1970s, he succeeded in obtaining the almost complete classification of injective factors. He also formulated the Connes embedding problem. Following this, he made contributions in operator K-theory and index theory, which culminated in the Baum–Connes conjecture. He also introduced cyclic cohomology in the early 1980s as a first step in the study of noncommutative differential geometry. He was a member of Bourbaki.[2] Connes has applied his work in areas of mathematics and theoretical physics, including number theory, differential geometry and particle physics.[3] Awards and honoursConnes was awarded the Fields Medal in 1982,[4][5] the Crafoord Prize in 2001[6] [7] and the gold medal of the CNRS in 2004. He was an invited speaker at the ICM in 1974 at Vancouver and in 1986 at Berkeley and a plenary speaker at the ICM in 1978 at Helsinki. He is a member of the French Academy of Sciences and several foreign academies and societies, including the Danish Academy of Sciences, Norwegian Academy of Sciences, Russian Academy of Sciences, and US National Academy of Sciences. Books
See also
References1. ^Alain Connes, « Géométrie non-commutative », Université de tous les savoirs, 4, 175-190, Editions Odile Jacob, 2001. 2. ^{{citation|title=Bourbaki: a secret society of mathematicians|first=Maurice|last=Mashaal|publisher=American Mathematical Society|year=2006|page=18|isbn=978-0-8218-3967-6|url=https://books.google.com/books?id=-CXn6y_1nJ8C&pg=PA18}}. 3. ^"The Geometer of Particle Physics" Scientific American, 24 July 2006 4. ^{{cite web|url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1982/index.html#0x82496a1f_0x0005ea30 |title=International mathematical congresses. An illustrated history 1893 - 1986 |publisher=Springer-Verlag| author= Albers, Donald J.; Alexanderson, G. L.; Reid, Constance |date=1986 |accessdate=2018-12-02}} 5. ^{{cite web|url=https://www.mathunion.org/imu-awards/fields-medal |title= Fields Medal - International Mathematical Union (IMU) |publisher=International Mathematical Union| author= IMU Secretariat |accessdate=2018-12-02}} 6. ^{{cite web|url=https://www.crafoordprize.se/laureates|title=Crafoord Prize - Crafoord Prize Laureates |publisher=www.crafoordprize.se| date=2000 |accessdate=2018-12-02}} 7. ^{{cite web|url=https://people.math.osu.edu/events/connes/crafoord.html |title=Crafoord Prize to one of the world's foremost mathematicians |publisher=The Royal Swedish Academy of Sciences| date=2001-01-25 |accessdate=2018-12-02}} 8. ^{{cite journal|author=Segal, Irving|authorlink=Irving Segal|title=Review: Noncommutative geometry, by Alain Connes|journal=Bull. Amer. Math. Soc. (N.S.)|year=1996|volume=33|issue=4|pages=459–465|url=http://www.ams.org/journals/bull/1996-33-04/S0273-0979-96-00687-8/S0273-0979-96-00687-8.pdf|doi=10.1090/s0273-0979-96-00687-8}} External links
18 : 1947 births|Living people|20th-century French mathematicians|Members of the United States National Academy of Sciences|21st-century mathematicians|Collège de France faculty|Institute for Advanced Study visiting scholars|Fields Medalists|Mathematical analysts|Differential geometers|École Normale Supérieure alumni|Vanderbilt University faculty|Foreign Members of the Russian Academy of Sciences|Members of the French Academy of Sciences|Members of the Norwegian Academy of Science and Letters|Members of the Royal Danish Academy of Sciences and Letters|Clay Research Award recipients|Participants in the Les Houches Physics Summer School |
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