Jean-Marc Fontaine

E899887

Jean-Marc Fontaine was a French mathematician known for his foundational work in p-adic Hodge theory and arithmetic geometry.

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Label Occurrences
Jean-Marc Fontaine canonical 5

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Statements (50)

Predicate Object
instanceOf French mathematician
human
mathematician
areaOfInfluence Langlands program
modern number theory
contributedTo foundations of p-adic Hodge theory
relationship between étale cohomology and p-adic Galois representations
countryOfCitizenship France
doctoralAdvisor Alexander Grothendieck
educatedAt University of Paris
École Normale Supérieure
employer CNRS
Université Paris-Sud
era 20th-century mathematics
21st-century mathematics
familyName Fontaine
fieldOfWork arithmetic geometry
mathematics
number theory
p-adic Hodge theory
gender male
givenName Jean-Marc
hasAcademicDiscipline Galois representations
algebraic geometry
influenced arithmetic geometry in the late 20th century
p-adic representation theory
knownFor Fontaine rings
Fontaine’s theory of (φ,Γ)-modules
linked to: p-adic Hodge theory

classification of p-adic Galois representations
development of p-adic Hodge structures
foundational work in p-adic Hodge theory
work in arithmetic geometry
languageOfWorkOrName French
memberOf Académie des sciences (France)
name Jean-Marc Fontaine
notableConcept (φ,Γ)-modules over the Robba ring
B_{cris} (crystalline period ring)
linked to: p-adic Hodge theory

B_{dR} (de Rham period ring)
B_{st} (semistable period ring)
linked to: p-adic Hodge theory

Fontaine–Wintenberger theorem
Fontaine’s period rings
classification of crystalline representations
classification of de Rham representations
classification of semistable representations
p-adic comparison isomorphisms
notableStudent Jean-Pierre Wintenberger
Laurent Fargues
notableWork papers on p-adic Galois representations and period rings
occupation researcher
university teacher

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Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

Nicolas Bourbaki hasMember Jean-Marc Fontaine
John Tate notableStudent Jean-Marc Fontaine
p-adic Hodge theory developedBy Jean-Marc Fontaine
Fontaine–Mazur conjecture namedAfter Jean-Marc Fontaine
Jean-Marc Fontaine name Jean-Marc Fontaine