Jean-Loup Waldspurger
Jean-Loup Waldspurger | |
|---|---|
| Born | 1953 (age 67–68) |
| Nationality | French |
| Alma mater | École normale supérieure |
| Awards | Silver Medal of CNRS |
| Scientific career | |
| Fields | Mathematics |
Jean-Loup Waldspurger (born 1953) is a French mathematician working on the Langlands program and related areas. He proved Waldspurger's theorem, the Waldspurger formula, and the local Gan–Gross–Prasad conjecture for orthogonal groups. He played a role in the proof of the fundamental lemma, reducing the conjecture to a version for Lie algebras. This formulation was ultimately proven by Ngô Bảo Châu.
Education[]
Waldspurger attained his doctorate at École normale supérieure in 1980, under supervision of Marie-France Vignéras.
Scientific work[]
J.-L. Waldspurger's work concerns the theory of automorphic forms. He highlighted the links between Fourier coefficients of modular shapes of half full weight and function values L or periods of modular shapes of full weight. With C. Moeglin, he demonstrated Jacquet's conjecture describing the discrete spectrum of the GL(n) groups.[1] Other works are devoted to orbital integrals on p-adic groups: unipotent orbital integrals, proof of the conjecture of Langlands-Shelstad transfer conditional on the "fundamental lemma" (which was later proved by Ngo-Bao-Chau[2]). J.-L. Waldspurger proved the Gross-Prasad conjecture for SO(N) groups on a p-adic body. With C. Moeglin, he wrote two large volumes establishing the stable trace formula for twisted spaces.[3]
Some recent publications are available on its website.[4]
Awards[]
He won the of the French Academy of Sciences in 1996. He was awarded the 2009 Clay Research Award for his results in p-adic harmonic analysis. He was elected as a member of French Academy of Sciences in 2017.[5]
References[]
- ^ C. Moeglin, J.-L. Waldspurger, « Le spectre résiduel de GL(n) », Annales ENS, 22 (1989), p. 615-674
- ^ Ngo-Bao-Chau, « Le lemme fondamental pour les algèbres de Lie », Publ. Math. IHES, 111 (2010), p. 1-269
- ^ C. Moeglin, J.-L. Waldspurger, , Birkhàuser, 2016, volumes 1 et 2, Progress in Math 316 et 317 p.
- ^ "Publications".
- ^ "DIX-HUIT NOUVEAUX MEMBRES ÉLUS A L'ACADÉMIE DES SCIENCES" (PDF). 6 December 2017.
- Jean-Loup Waldspurger, Mathématicien (in French)
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- 1953 births
- Living people
- École Normale Supérieure alumni
- 20th-century French mathematicians
- 21st-century French mathematicians
- Clay Research Award recipients
- Members of the French Academy of Sciences
- French mathematician stubs