Michel Raynaud ( Fr. Michel Raynaud , June 16, 1938 , Rome , France - March 10, 2018 ) - French mathematician, specialist in algebraic geometry , professor at the University of Paris-South XI , corresponding member of the French Academy of Sciences (1994), winner (1987) and Cole Prizes (1995) [1] [2] .
| Michelle Raynaud | |
|---|---|
| Michel raynaud | |
| Date of Birth | June 16, 1938 |
| Place of Birth | Riom , France |
| Date of death | March 10, 2018 (aged 79) |
| A country |  France |
| Scientific field | maths |
| Place of work | University of Paris-South XI |
| Alma mater | Higher Normal School (Paris) |
| Academic degree | doctor degree |
| Academic rank | Professor |
| supervisor | Alexander Grotendik |
| Awards and prizes | (1987) Cole Award (1995) |
Content
- 1 Biography
- 2 Scientific results
- 3 Prizes and honorary titles
- 4 Bibliography
- 4.1 Monographs
- 5 notes
- 6 References
Biography
Michel Reynaud was born in Riom on June 16, 1938. His parents lived in Chatel-Guillon , where Michel began to study at school, and at an older age he studied at schools in Riom and Clermont-Ferrand . In 1958, he entered the Higher Normal School in Paris . In 1961, Reynaud showed the best result in the French exam for school teachers. He continued to study at the Higher Normal School until 1962, where he met his future wife . In 1962 they got married; subsequently, in 1970, their son Alain was born [1] .
In 1962, after graduating from the Higher Normal School, Michel Raynaud was hired by the French National Center for Scientific Research ( CNRS ), where he worked until 1967. Since 1962, Michel Reynaud and his wife attended a seminar on algebraic geometry at the Institute for Higher Scientific Research ( IHÉS ), which was led by Alexander Grotendik . Grothendieck became the supervisor of both Michel and his wife. In 1968, Michel Reynaud defended his thesis [1] on the topic “Multiple bundles on group schemes and homogeneous spaces” ( French: Faisceaux amples sur les schemas en groupes et les espaces homogenes ) [3] .
Since 1967, Reynaud has been a professor at the University of Paris-south XI , located in , where he worked until his retirement in 2001. In addition, in 1976, Reynaud organized the Group of Arithmetic and Algebraic Geometry ( French Équipe d'arithmétique et géométrie algébrique ), part of the National Center for Scientific Research ( CNRS ). He was the leader of this group until 1983. In 1985, Michel Reynaud and Luc Illusi organized a Workshop on Arithmetic and Algebraic Geometry - SAGA ( French Séminaire d'arithmétique et géométrie algébrique ), which gained great popularity (and continued to function as of 2018) [1] .
In 1970, Reynaud was a guest speaker at the International Congress of Mathematicians in Nice . In 1987, he received French Academy of Sciences [1] . In 1994, he was elected a corresponding member of the French Academy of Sciences [1] [4] . In 1995, together with the American mathematician Raynaud was awarded the Cole Algebra Prize [1] [5] [6] . In connection with his retirement in June 2001, a conference "Algebraic geometry and applications in number theory" was held in Ors [1] .
Since the 1960s, Michel Reynaud and his wife have been actively involved in sports - tennis, downhill skiing and rock climbing. In November 2017, he was diagnosed with a brain tumor. Most of this tumor was removed during surgery in December 2017. Nevertheless, in February 2018, his condition worsened again, he was hospitalized and fell into a coma. Michelle Raynaud passed away on March 10, 2018 [1] .
Scientific Results
Although Reynaud worked mainly in the field of algebraic geometry, his scientific contribution concerns a number of related areas of mathematics. Raynaud proved a generalization of the Manin - Mumford hypothesis. He managed to find evidence . Soon after, Raynaud's results were generalized to a more general case by David Harbater [1] . In 1995, Reynaud and Harbater received the Cole Algebra Award [6] [7] for proving the Abyankar hypothesis. Raynaud developed a new approach to the so-called "rigid geometry" ( English rigid geometry ). He developed the results of Alexander Grothendieck related to the concept of flatness in algebraic geometry. A number of Reynaud's works are devoted to the and the , as well as the theory of . Reynaud dealt with issues related to the Cartier-Dieudonné theory and , and he also contributed to the geometry of curves and planes. In the 1960s and 1970s, a number of results obtained by Raynaud were reported at Bourbaki workshops [1] .
Prizes and honorary titles
- (1987) [8]
- Cole Algebra Prize (1995, in collaboration with ) [5]
- Corresponding Member of the French Academy of Sciences (1994) [4]
Bibliography
Monographs
- Michel Raynaud . Faisceaux amples sur les schemas en groupes et les espaces homogenes ("Multiple bundles on group schemes and homogeneous spaces"). Lecture Notes in Mathematics, Vol. 119, Springer, 1970, ISBN 978-3540049081
- Michel Raynaud . Anneaux locaux Henséliens ("Local Hansel rings"). Lecture Notes in Mathematics, Vol. 169, Springer, 1970, ISBN 978-3540052838
- , , and Michel Raynaud . Néron models ("Models of Nero"). Ergebnisse der Mathematik und ihrer Grenzgebiete (3. Folge: A Series of Modern Surveys in Mathematics), Band 21, Springer, 1990, ISBN 978-3540505877
Notes
- ↑ 1 2 3 4 5 6 7 8 9 10 11 Luc Illusie . Michel Raynaud (1938–2018) (Eng.) // Notices of the American Mathematical Society . - 2018 .-- Vol. 66, no. 1 . - P. 37-41. Archived December 25, 2018.
- ↑ Elisabeth Gassiat. Décès de Michel Raynaud (HTML). Société Mathématique de France - smf.emath.fr. Date of treatment February 13, 2019.
- ↑ Michel Raynaud (HTML). Mathematics Genealogy Project - www.genealogy.math.ndsu.nodak.edu Date of treatment February 15, 2019. Archived February 16, 2019.
- ↑ 1 2 Michel Raynaud (HTML). Académie des sciences - www.academie-sciences.fr. Date of treatment February 13, 2019.
- ↑ 1 2 1995 Frank Nelson Cole Prize in Algebra (Eng.) // Notices of the American Mathematical Society . - 1995. - Vol. 42, no. 4 . - P. 454–456. Archived March 4, 2006.
- ↑ 1 2 Eric W. Weisstein. Cole Prize (HTML). MathWorld - mathworld.wolfram.com. Date of treatment February 12, 2019. Archived on August 9, 2018.
- ↑ Eric W. Weisstein. Abhyankar's Conjecture (HTML). MathWorld - mathworld.wolfram.com. Date of treatment February 12, 2019. Archived on August 9, 2018.
- ↑ Prix Ampère de l'Électricité de France (PDF). Académie des sciences - www.academie-sciences.fr. Date of treatment February 15, 2019. Archived February 16, 2019.
Links
- Michel Raynaud , Mathematics Genealogy Project - www.genealogy.math.ndsu.nodak.edu