Gérard Laumon

Gérard Laumon (French: [lomɔ̃]; born 1952) is a French mathematician working in number theory and the Langlands program.

Gérard Laumon
Born	1952 (age 71–72) Lyon, France
Nationality	French
Alma mater	École Normale Supérieure Paris-Sud 11 University
Known for	Work on Langlands program
Awards	Clay Research Award (2004)
Scientific career
Fields	Mathematics
Institutions	Paris-Sud 11 University
Doctoral advisor	Luc Illusie
Doctoral students	Laurent Lafforgue Ngô Bảo Châu Sophie Morel

Education

Laumon studied at the École Normale Supérieure and Paris-Sud 11 University, Orsay.^[1]

Work

In 1987, Vladimir Drinfeld and Laumon formulated the geometric Langlands conjecture for general linear groups ${\displaystyle GL(n,K)}$ over a function field ${\displaystyle K}$.^{[2]: 46 [3]}

In 2008, Laumon and Ngô Bảo Châu proved the fundamental lemma for unitary groups, a component in the Langlands program in number theory.^[4][5]

Awards

He 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.^[4] 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.^[4]

In 2012, he became a fellow of the American Mathematical Society.^[6]

References

1. Gérard Laumon at the Mathematics Genealogy Project
2. 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.
3. 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.
4. "Gérard Laumon". Clay Mathematics Institute. Retrieved 26 July 2024.
5. 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.
6. List of Fellows of the American Mathematical Society, retrieved 2013-01-27.

External links

• Laumon's CMI lecture
• Audio recording on a lecture at the Field Institute titled "On the fundamental lemma for unitary groups"