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André Haefliger

May 02, 2024

"Haefliger" redirects here. For other uses, see Haefliger (disambiguation).

André Haefliger (Swiss Standard German pronunciation: [ˈandreː ˈhɛːflɪɡər]; 22 May 1929 – 7 March 2023) was a Swiss mathematician who worked primarily on topology.

André Haefliger
Born(1929-05-22)22 May 1929
Nyon, Switzerland
Died7 March 2023(2023-03-07) (aged 93)
NationalitySwiss
Alma materUniversity of Lausanne
University of Paris
Known forHaefliger structure
AwardsLeroy P. Steele Prize
Scientific career
FieldsMathematics
InstitutionsUniversity of Geneva
ThesisStructures feuilletées et cohomologie à valeurs dans un faisceau de groupoides (1958)
Doctoral advisorCharles Ehresmann
Doctoral studentsAugustin Banyaga
Vaughan Jones
Websitehttps://www.unige.ch/math/folks/haefliger/

Education and career edit

Haefliger went to school in Nyon and then attended his final years at Collège de Genève in Geneva. He studied mathematics at the University of Lausanne from 1948 to 1952. He worked for two years as a teaching assistant at École Polytechnique de l'Université de Lausanne. He then moved to University of Strasbourg, then he followed Charles Ehresmann in Paris, where he received his Ph.D. degree in 1958.[1] His thesis was entitled "Structures feuilletées et cohomologie à valeurs dans un faisceau de groupoïdes" and was written under the supervision of Charles Ehresmann.[2]

Haefliger got a research fellowship for one year at the University of Paris, where he participated in the seminar of Henri Cartan, and then from 1959 to 1961 he worked at the Institute for Advanced Study in Princeton, New Jersey. Since 1962 he has been a full professor at the University of Geneva until his retirement in 1996.[3]

In 1966 Haefliger was invited speaker at the International Congress of Mathematicians in Moscow.[4] In 1974–75, he was president of the Swiss Mathematical Society.[5]

Haefliger obtained a Doctorate honoris causa from the ETH Zurich in 1992 and from the University of Dijon in 1997. In 2020 Haefliger and Martin Bridson were awarded the American Mathematical Society's Leroy P. Steele Prize for Mathematical Exposition, for their book Metric Spaces of Non-Positive Curvature (Springer Verlag, 1999).[6]

Haefliger died on 7 March 2023, at the age of 93.[7]

Research edit

Haefliger's main research interests were differential topology and geometry.

Haefliger found the topological obstruction to the existence of a spin structure on an orientable Riemannian manifold.[8] In two papers in the Annals he studied various embedding of spheres in relations to knot theory.[9][10] He has also made important contributions in the theory of foliations, introducing the notion of Haefliger structures.[11]

 
From left to right: Beno Eckmann, Peter Hilton, Jean-Pierre Serre, and André Haefliger in Zürich in 2007

He wrote more than 80 papers in peer review journals[12] and had 20 Ph.D. students, including Augustin Banyaga and the future Field Medalist Vaughan Jones.[2]

Selected works edit

  • Haefliger, André (1988). "Un aperçu de l'oeuvre de Thom en topologie différentielle (jusqu'en 1957)" (PDF). Publications Mathématiques de l'IHÉS. 68: 13–18. doi:10.1007/BF02698538. S2CID 123652699.
  • "Travaux de Novikov sur les feuilletages." Séminaire Bourbaki 10 (1966-1968): 433-444.
  • "Sur les classes caractéristiques des feuilletages." Séminaire Bourbaki 14 (1971-1972): 239-260.
  • "Sphères d'homotopie nouées." Séminaire Bourbaki 9 (1964-1966): 57-68.
  • "Feuilletages riemanniens." Séminaire Bourbaki 31 (1988-1989): 183-197.
  • "Plongements de variétés dans le domaine stable." Séminaire Bourbaki 8 (1962-1964): 63-77.
  • Haefliger, André (1987). "Des espaces homogènes à la résolution de Koszul" (PDF). Annales de l'Institut Fourier. 37 (4): 5–13. doi:10.5802/aif.1107.
  • "Variétés feuilletées" (PDF). Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 16 (4): 367–397. 1962.
  • Haefliger, André (1976). "Sur la cohomologie de l'algèbre de Lie des champs de vecteurs" (PDF). Annales Scientifiques de l'École Normale Supérieure. 9 (4): 503–532. doi:10.24033/asens.1316.
  • Haefliger, André (1992). "Extension of complexes of groups" (PDF). Annales de l'Institut Fourier. 42 (1–2): 275–311. doi:10.5802/aif.1292.
  • Haefliger, André (1960). "Quelques remarques sur les applications différentiables d'une surface dans le plan" (PDF). Annales de l'Institut Fourier. 10: 47–60. doi:10.5802/aif.97.
  • "Plongements différentiables de variétés dans variétés." Commentarii Mathematici Helvetici. 36: 47–82. 1961.
  • "Structures feuilletées et cohomologie à valeur dans un faisceau de groupoides". Commentarii Mathematici Helvetici. 32: 248–329. 1957. (Ph.D. Thesis)
  • Haefliger, André; Shapiro, Arnold (1962). "Plongements différentiables dans le domaine stable". Commentarii Mathematici Helvetici. 37: 155–176. doi:10.1007/BF02566970. S2CID 120702104.
  • Haefliger, André (1966). "Enlacements de sphères en codimension supérieure à 2". Commentarii Mathematici Helvetici. 41: 51–72. doi:10.1007/BF02566868. S2CID 119701637.
  • Haefliger, André; Valentin, Poenaru (1964). "La classification des immersions combinatoires" (PDF). Publications Mathématiques de l'IHÉS. 23: 75–91. doi:10.1007/BF02684311. MR 0172296. S2CID 122155839.
  • Armand, Borel; Haefliger, André (1961). "La classe d'homologie fondamentale d'un espace analytique" (PDF). Bulletin de la Société Mathématique de France. 89: 461–513. doi:10.24033/bsmf.1571. MR 0149503.
  • Bridson, Martin R.; Haefliger, André (1999). Metric Spaces of Non-Positive Curvature. Grundlehren der mathematischen Wissenschaften. Vol. 319. Berlin, Heidelberg: Springer. doi:10.1007/978-3-662-12494-9. ISBN 978-3-642-08399-0. MR 1744486.

References edit

  1. ^ Max-Albert Knus, 'André Haefliger', Historical Dictionary of Switzerland, retrieved 22 March 2023.
  2. ^ a b André Haefliger at the Mathematics Genealogy Project
  3. ^ "Celebratio Mathematica — Haefliger — Jackson". celebratio.org. Retrieved 19 December 2021.
  4. ^ "ICM Plenary and Invited Speakers | International Mathematical Union (IMU)". www.mathunion.org. Retrieved 19 December 2021.
  5. ^ "Organisation » Past Presidents | The Swiss Mathematical Society". www.math.ch. Retrieved 18 December 2021.
  6. ^ "News from the AMS". American Mathematical Society. Retrieved 18 December 2021.
  7. ^ "In memoriam André Haefliger". Université de Genève. 9 March 2023. Retrieved 12 March 2023.
  8. ^ A. Haefliger (1956). "Sur l'extension du groupe structural d'un espace fibré". C. R. Acad. Sci. Paris. 243: 558–560.
  9. ^ Haefliger, Andre (1962). "Knotted (4k - 1)-Spheres in 6k-Space". Annals of Mathematics. 75 (3): 452–466. doi:10.2307/1970208. ISSN 0003-486X. JSTOR 1970208.
  10. ^ Haefliger, Andre (1966). "Differentiable Embeddings of Sn in Sn+q for $q > 2$". Annals of Mathematics. 83 (3): 402–436. doi:10.2307/1970475. ISSN 0003-486X. JSTOR 1970475.
  11. ^ Haefliger, A. (1970). "Feuilletages sur les variétés ouvertes". Topology. 9 (2): 183–194. doi:10.1016/0040-9383(70)90040-6.
  12. ^ "zbMATH Open - the first resource for mathematics". zbmath.org. Retrieved 19 December 2021.

External links edit

May 02, 2024
andré, haefliger, haefliger, redirects, here, other, uses, haefliger, disambiguation, swiss, standard, german, pronunciation, ˈandreː, ˈhɛːflɪɡər, 1929, march, 2023, swiss, mathematician, worked, primarily, topology, born, 1929, 1929nyon, switzerlanddied7, mar. Haefliger redirects here For other uses see Haefliger disambiguation Andre Haefliger Swiss Standard German pronunciation ˈandreː ˈhɛːflɪɡer 22 May 1929 7 March 2023 was a Swiss mathematician who worked primarily on topology Andre HaefligerBorn 1929 05 22 22 May 1929Nyon SwitzerlandDied7 March 2023 2023 03 07 aged 93 NationalitySwissAlma materUniversity of LausanneUniversity of ParisKnown forHaefliger structureAwardsLeroy P Steele PrizeScientific careerFieldsMathematicsInstitutionsUniversity of GenevaThesisStructures feuilletees et cohomologie a valeurs dans un faisceau de groupoides 1958 Doctoral advisorCharles EhresmannDoctoral studentsAugustin BanyagaVaughan JonesWebsitehttps www unige ch math folks haefliger Contents 1 Education and career 2 Research 3 Selected works 4 References 5 External linksEducation and career editHaefliger went to school in Nyon and then attended his final years at College de Geneve in Geneva He studied mathematics at the University of Lausanne from 1948 to 1952 He worked for two years as a teaching assistant at Ecole Polytechnique de l Universite de Lausanne He then moved to University of Strasbourg then he followed Charles Ehresmann in Paris where he received his Ph D degree in 1958 1 His thesis was entitled Structures feuilletees et cohomologie a valeurs dans un faisceau de groupoides and was written under the supervision of Charles Ehresmann 2 Haefliger got a research fellowship for one year at the University of Paris where he participated in the seminar of Henri Cartan and then from 1959 to 1961 he worked at the Institute for Advanced Study in Princeton New Jersey Since 1962 he has been a full professor at the University of Geneva until his retirement in 1996 3 In 1966 Haefliger was invited speaker at the International Congress of Mathematicians in Moscow 4 In 1974 75 he was president of the Swiss Mathematical Society 5 Haefliger obtained a Doctorate honoris causa from the ETH Zurich in 1992 and from the University of Dijon in 1997 In 2020 Haefliger and Martin Bridson were awarded the American Mathematical Society s Leroy P Steele Prize for Mathematical Exposition for their book Metric Spaces of Non Positive Curvature Springer Verlag 1999 6 Haefliger died on 7 March 2023 at the age of 93 7 Research editHaefliger s main research interests were differential topology and geometry Haefliger found the topological obstruction to the existence of a spin structure on an orientable Riemannian manifold 8 In two papers in the Annals he studied various embedding of spheres in relations to knot theory 9 10 He has also made important contributions in the theory of foliations introducing the notion of Haefliger structures 11 nbsp From left to right Beno Eckmann Peter Hilton Jean Pierre Serre and Andre Haefliger in Zurich in 2007 He wrote more than 80 papers in peer review journals 12 and had 20 Ph D students including Augustin Banyaga and the future Field Medalist Vaughan Jones 2 Selected works editHaefliger Andre 1988 Un apercu de l oeuvre de Thom en topologie differentielle jusqu en 1957 PDF Publications Mathematiques de l IHES 68 13 18 doi 10 1007 BF02698538 S2CID 123652699 Travaux de Novikov sur les feuilletages Seminaire Bourbaki 10 1966 1968 433 444 Sur les classes caracteristiques des feuilletages Seminaire Bourbaki 14 1971 1972 239 260 Spheres d homotopie nouees Seminaire Bourbaki 9 1964 1966 57 68 Feuilletages riemanniens Seminaire Bourbaki 31 1988 1989 183 197 Plongements de varietes dans le domaine stable Seminaire Bourbaki 8 1962 1964 63 77 Haefliger Andre 1987 Des espaces homogenes a la resolution de Koszul PDF Annales de l Institut Fourier 37 4 5 13 doi 10 5802 aif 1107 Varietes feuilletees PDF Annali della Scuola Normale Superiore di Pisa Classe di Scienze 16 4 367 397 1962 Haefliger Andre 1976 Sur la cohomologie de l algebre de Lie des champs de vecteurs PDF Annales Scientifiques de l Ecole Normale Superieure 9 4 503 532 doi 10 24033 asens 1316 Haefliger Andre 1992 Extension of complexes of groups PDF Annales de l Institut Fourier 42 1 2 275 311 doi 10 5802 aif 1292 Haefliger Andre 1960 Quelques remarques sur les applications differentiables d une surface dans le plan PDF Annales de l Institut Fourier 10 47 60 doi 10 5802 aif 97 Plongements differentiables de varietes dans varietes Commentarii Mathematici Helvetici 36 47 82 1961 Structures feuilletees et cohomologie a valeur dans un faisceau de groupoides Commentarii Mathematici Helvetici 32 248 329 1957 Ph D Thesis Haefliger Andre Shapiro Arnold 1962 Plongements differentiables dans le domaine stable Commentarii Mathematici Helvetici 37 155 176 doi 10 1007 BF02566970 S2CID 120702104 Haefliger Andre 1966 Enlacements de spheres en codimension superieure a 2 Commentarii Mathematici Helvetici 41 51 72 doi 10 1007 BF02566868 S2CID 119701637 Haefliger Andre Valentin Poenaru 1964 La classification des immersions combinatoires PDF Publications Mathematiques de l IHES 23 75 91 doi 10 1007 BF02684311 MR 0172296 S2CID 122155839 Armand Borel Haefliger Andre 1961 La classe d homologie fondamentale d un espace analytique PDF Bulletin de la Societe Mathematique de France 89 461 513 doi 10 24033 bsmf 1571 MR 0149503 Bridson Martin R Haefliger Andre 1999 Metric Spaces of Non Positive Curvature Grundlehren der mathematischen Wissenschaften Vol 319 Berlin Heidelberg Springer doi 10 1007 978 3 662 12494 9 ISBN 978 3 642 08399 0 MR 1744486 References edit Max Albert Knus Andre Haefliger Historical Dictionary of Switzerland retrieved 22 March 2023 a b Andre Haefliger at the Mathematics Genealogy Project Celebratio Mathematica Haefliger Jackson celebratio org Retrieved 19 December 2021 ICM Plenary and Invited Speakers International Mathematical Union IMU www mathunion org Retrieved 19 December 2021 Organisation Past Presidents The Swiss Mathematical Society www math ch Retrieved 18 December 2021 News from the AMS American Mathematical Society Retrieved 18 December 2021 In memoriam Andre Haefliger Universite de Geneve 9 March 2023 Retrieved 12 March 2023 A Haefliger 1956 Sur l extension du groupe structural d un espace fibre C R Acad Sci Paris 243 558 560 Haefliger Andre 1962 Knotted 4k 1 Spheres in 6k Space Annals of Mathematics 75 3 452 466 doi 10 2307 1970208 ISSN 0003 486X JSTOR 1970208 Haefliger Andre 1966 Differentiable Embeddings of Sn in Sn q for q gt 2 Annals of Mathematics 83 3 402 436 doi 10 2307 1970475 ISSN 0003 486X JSTOR 1970475 Haefliger A 1970 Feuilletages sur les varietes ouvertes Topology 9 2 183 194 doi 10 1016 0040 9383 70 90040 6 zbMATH Open the first resource for mathematics zbmath org Retrieved 19 December 2021 External links editAndre Haefliger in German French and Italian in the online Historical Dictionary of Switzerland Andre Haefliger Department of Mathematics University of Geneva Allyn Jackson 2019 Interview with Andre Haefliger Celebratio Mathematica Retrieved from https en wikipedia org w index php title Andre Haefliger amp oldid 1192372034, wikipedia, wiki, book, books, library,

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