Gérard Laumon

Gérard Laumon
Laumon in 2004
Born1952 (1952)
Lyon, France
Died4 October 2025 (aged 72–73)
Alma materÉcole Normale Supérieure
Paris-Sud 11 University
Known forWork on Langlands program
AwardsClay Research Award (2004)
Scientific career
FieldsMathematics
InstitutionsParis-Sud 11 University
Doctoral advisorLuc Illusie
Doctoral studentsLaurent Lafforgue
Ngô Bảo Châu
Sophie Morel

Gérard Laumon (French: [lomɔ̃]; 1952 – 4 October 2025) was a French mathematician working in number theory and the Langlands program.

Background

Laumon was born in 1952. He studied at the École Normale Supérieure and Paris-Sud 11 University, Orsay.[1] Laumon died on 4 October 2025.[2][3]

Work

In 1987, Vladimir Drinfeld and Laumon formulated the geometric Langlands conjecture for general linear groups over a function field .[4]: 46 [5]

In 2008, Laumon and Ngô Bảo Châu proved the fundamental lemma for unitary groups, a component in the Langlands program in number theory.[6][7]

Awards

Laumon was awarded the Silver Medal of the CNRS in 1987, the E. Dechelle prize of the French Academy of the Sciences in 1992, and the Clay Research Award in 2004.[6] Laumon and Ngô received the Clay Research Award for the proof of the fundamental lemma for unitary groups, a component in the Langlands program in number theory, in 2004.[6]

In 2012, he became a fellow of the American Mathematical Society.[8]

References

  1. ^ Gérard Laumon at the Mathematics Genealogy Project
  2. ^ Décès de Gérard Laumon (in French)
  3. ^ Décès de Gérard Laumon (in French)
  4. ^ Frenkel, Edward (2007). "Lectures on the Langlands Program and Conformal Field Theory". Frontiers in Number Theory, Physics, and Geometry II. Springer. pp. 387–533. arXiv:hep-th/0512172. Bibcode:2005hep.th...12172F. doi:10.1007/978-3-540-30308-4_11. ISBN 978-3-540-30307-7. S2CID 119611071.
  5. ^ Laumon, Gérard (1987). "Correspondance de Langlands géométrique pour les corps de fonctions". Duke Mathematical Journal. 54 (2): 309–359. doi:10.1215/S0012-7094-87-05418-4.
  6. ^ a b c "Gérard Laumon". Clay Mathematics Institute. Retrieved 26 July 2024.
  7. ^ Laumon, Gérard; Ngô, Bao Châu (2008). "Le lemme fondamental pour les groupes unitaires". Annals of Mathematics. Second Series. 168 (2): 477–573. arXiv:math/0404454. doi:10.4007/annals.2008.168.477. ISSN 0003-486X. MR 2434884. S2CID 119606388.
  8. ^ List of Fellows of the American Mathematical Society, retrieved 27 January 2013.