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- Jean-Louis_Verdier abstract "Jean-Louis Verdier (French: [vɛʁdje]; 2 February 1935 – 25 August 1989) was a French mathematician who worked, under the guidance of Alexander Grothendieck, on derived categories and Verdier duality. He was a close collaborator of Alexander Grothendieck, notably contributing to SGA 4 his theory of hypercovers and anticipating the later development of étale homotopy by Michael Artin and Barry Mazur, following a suggestion he attributed to Pierre Cartier. Saul Lubkin's related theory of rigid hypercovers was later taken up by Eric Friedlander in his definition of the etale topological type.Verdier was a student at the elite École Normale Supérieure in Paris, and later became director of studies there, as well as a Professor at the University of Paris VII. For many years he directed a joint seminar at the École Normale Supérieure with Adrien Douady. Verdier was a member of Bourbaki. In 1984 he was the president of the Société Mathématique de France.In 1976 Verdier developed a useful regularity condition on stratified sets that the Chinese-Australian mathematician Tzee-Char Kuo had previously shown implied the Whitney conditions for subanalytic sets (such as real or complex analytic varieties). Verdier called the condition (w) for Whitney, as at the time he thought (w) might be equivalent to Whitney's condition (b). Real algebraic examples for which the Whitney conditions hold but Verdier's condition (w) fails, were constructed by David Trotman who has obtained many geometric properties of (w)-regular stratifications. Work of Bernard Teissier, aided by Jean-Pierre Henry and Michel Merle at the École Polytechnique, led to the 1982 result that Verdier's condition (w) is equivalent to the Whitney conditions for complex analytic stratifications.Verdier later worked on the theory of integrable systems.".
- Jean-Louis_Verdier almaMater University_of_Paris.
- Jean-Louis_Verdier birthDate "1935-02-02".
- Jean-Louis_Verdier birthYear "1935".
- Jean-Louis_Verdier deathDate "1989-08-25".
- Jean-Louis_Verdier deathYear "1989".
- Jean-Louis_Verdier doctoralAdvisor Alexander_Grothendieck.
- Jean-Louis_Verdier doctoralStudent Alain_Bruguières.
- Jean-Louis_Verdier doctoralStudent Arnaud_Beauville.
- Jean-Louis_Verdier doctoralStudent Daniel_Alibert.
- Jean-Louis_Verdier doctoralStudent Georges_Maltsiniotis.
- Jean-Louis_Verdier doctoralStudent Gérard_Gonzalez-Sprinberg.
- Jean-Louis_Verdier field Mathematics.
- Jean-Louis_Verdier nationality French_people.
- Jean-Louis_Verdier thumbnail Verdier_Previato.jpg?width=300.
- Jean-Louis_Verdier wikiPageExternalLink 978-0-8176-3653-1.
- Jean-Louis_Verdier wikiPageID "9168893".
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- Jean-Louis_Verdier wikiPageRevisionID "685502835".
- Jean-Louis_Verdier wikiPageWikiLink Adrien_Douady.
- Jean-Louis_Verdier wikiPageWikiLink Alain_Bruguières.
- Jean-Louis_Verdier wikiPageWikiLink Alexander_Grothendieck.
- Jean-Louis_Verdier wikiPageWikiLink Arnaud_Beauville.
- Jean-Louis_Verdier wikiPageWikiLink Artin–Verdier_duality.
- Jean-Louis_Verdier wikiPageWikiLink Barry_Mazur.
- Jean-Louis_Verdier wikiPageWikiLink Category:1935_births.
- Jean-Louis_Verdier wikiPageWikiLink Category:1989_deaths.
- Jean-Louis_Verdier wikiPageWikiLink Category:20th-century_mathematicians.
- Jean-Louis_Verdier wikiPageWikiLink Category:French_mathematicians.
- Jean-Louis_Verdier wikiPageWikiLink Category:Nicolas_Bourbaki.
- Jean-Louis_Verdier wikiPageWikiLink Category:University_of_Paris_alumni.
- Jean-Louis_Verdier wikiPageWikiLink Category:University_of_Paris_faculty.
- Jean-Louis_Verdier wikiPageWikiLink Category:École_Normale_Supérieure_alumni.
- Jean-Louis_Verdier wikiPageWikiLink Daniel_Alibert.
- Jean-Louis_Verdier wikiPageWikiLink David_Trotman.
- Jean-Louis_Verdier wikiPageWikiLink Derived_category.
- Jean-Louis_Verdier wikiPageWikiLink Eric_Friedlander.
- Jean-Louis_Verdier wikiPageWikiLink Etale_topological_type.
- Jean-Louis_Verdier wikiPageWikiLink French_people.
- Jean-Louis_Verdier wikiPageWikiLink Georges_Maltsiniotis.
- Jean-Louis_Verdier wikiPageWikiLink Gérard_Gonzalez-Sprinberg.
- Jean-Louis_Verdier wikiPageWikiLink Hassler_Whitney.
- Jean-Louis_Verdier wikiPageWikiLink Hypercovers.
- Jean-Louis_Verdier wikiPageWikiLink Integrable_system.
- Jean-Louis_Verdier wikiPageWikiLink Mathematical_Research_Institute_of_Oberwolfach.
- Jean-Louis_Verdier wikiPageWikiLink Mathematician.
- Jean-Louis_Verdier wikiPageWikiLink Mathematics.
- Jean-Louis_Verdier wikiPageWikiLink Michael_Artin.
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- Jean-Louis_Verdier wikiPageWikiLink Paris_Diderot_University.
- Jean-Louis_Verdier wikiPageWikiLink Pierre_Cartier_(mathematician).
- Jean-Louis_Verdier wikiPageWikiLink Rigid_hypercover.
- Jean-Louis_Verdier wikiPageWikiLink Saul_Lubkin.
- Jean-Louis_Verdier wikiPageWikiLink Société_mathématique_de_France.
- Jean-Louis_Verdier wikiPageWikiLink Stratified_sets.
- Jean-Louis_Verdier wikiPageWikiLink Subanalytic_set.
- Jean-Louis_Verdier wikiPageWikiLink Séminaire_de_Géométrie_Algébrique_du_Bois_Marie.
- Jean-Louis_Verdier wikiPageWikiLink Tzee-Char_Kuo.
- Jean-Louis_Verdier wikiPageWikiLink University_of_Paris.
- Jean-Louis_Verdier wikiPageWikiLink Verdier_duality.
- Jean-Louis_Verdier wikiPageWikiLink Whitney_conditions.
- Jean-Louis_Verdier wikiPageWikiLink Yvette_Kosmann-Schwarzbach.
- Jean-Louis_Verdier wikiPageWikiLink École_Normale_Supérieure.
- Jean-Louis_Verdier wikiPageWikiLink École_Polytechnique.
- Jean-Louis_Verdier wikiPageWikiLink Étale_homotopy.
- Jean-Louis_Verdier wikiPageWikiLinkText "Jean-Louis Verdier".
- Jean-Louis_Verdier wikiPageWikiLinkText "Verdier".
- Jean-Louis_Verdier wikiPageWikiLinkText "Verdier, Jean-Louis".
- Jean-Louis_Verdier almaMater University_of_Paris.
- Jean-Louis_Verdier birthDate "1935-02-02".
- Jean-Louis_Verdier caption "Jean-Louis Verdier and Emma Previato, Oberwolfach 1984".
- Jean-Louis_Verdier dateOfBirth "1935-02-02".
- Jean-Louis_Verdier dateOfDeath "1989-08-25".
- Jean-Louis_Verdier deathDate "1989-08-25".
- Jean-Louis_Verdier doctoralAdvisor Alexander_Grothendieck.
- Jean-Louis_Verdier doctoralStudents Alain_Bruguières.
- Jean-Louis_Verdier doctoralStudents Arnaud_Beauville.
- Jean-Louis_Verdier doctoralStudents Daniel_Alibert.
- Jean-Louis_Verdier doctoralStudents Georges_Maltsiniotis.
- Jean-Louis_Verdier doctoralStudents Gérard_Gonzalez-Sprinberg.
- Jean-Louis_Verdier fields Mathematics.
- Jean-Louis_Verdier name "Jean-Louis Verdier".
- Jean-Louis_Verdier name "Verdier, Jean-Louis".
- Jean-Louis_Verdier nationality "French".
- Jean-Louis_Verdier shortDescription "French mathematician".
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- Jean-Louis_Verdier workplaces Paris_Diderot_University.
- Jean-Louis_Verdier description "French mathematician".
- Jean-Louis_Verdier description "French mathematician".
- Jean-Louis_Verdier subject Category:1935_births.