Jean-Loup Waldspurger | |
|---|---|
| Born | 2 July 1953 (1953-07-02) (age 71) |
| Nationality | French |
| Alma mater | École normale supérieure |
| Known for | Waldspurger formula Waldspurger's theorem |
| Awards | Silver Medal ofCNRS Clay Research Award (2009) ICM Speaker (1983, 1994, 2014) Peccot Lecture (1982/1983) |
| Scientific career | |
| Fields | Mathematics |
Jean-Loup Waldspurger (born 2 July 1953) is a Frenchmathematician working on theLanglands program and related areas. He provedWaldspurger's theorem, theWaldspurger formula, and the localGan–Gross–Prasad conjecture for orthogonal groups. He played a role in the proof of thefundamental lemma, reducing the conjecture to a version forLie algebras. This formulation was ultimately proven byNgô Bảo Châu.
Waldspurger attained hisdoctorate atÉcole normale supérieure in 1980, under supervision ofMarie-France Vignéras.
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 field. 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]
He won theMergier–Bourdeix Prize [fr] of theFrench Academy of Sciences in 1996. He was awarded the 2009Clay Research Award for his results inp-adic harmonic analysis. He was elected as a member ofFrench Academy of Sciences in 2017.[5]
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