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Jean-Loup Waldspurger

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Jean-Loup Waldspurger
Born (1953-07-02) July 2, 1953 (age 71)
France
NationalityFrench
Alma materÉcole normale supérieure
AwardsSilver Medal of CNRS
Scientific career
FieldsMathematics

Jean-Loup Waldspurger (born July 2, 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 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]

Awards

He won the Mergier–Bourdeix Prize [fr] 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

  1. ^ Mœglin, C.; Waldspurger, J.-L. (1989). "Le spectre résiduel de ". Annales scientifiques de l'École normale supérieure. 22 (4). Societe Mathematique de France: 605–674. doi:10.24033/asens.1595. ISSN 0012-9593.
  2. ^ Ngô, Bao Châu (23 April 2010). "Le lemme fondamental pour les algèbres de Lie". Publications mathématiques de l'IHÉS (in French). 111 (1). Springer Science and Business Media LLC: 1–169. doi:10.1007/s10240-010-0026-7. ISSN 0073-8301. S2CID 118103635.
  3. ^ Moeglin, Colette; Waldspurger, Jean-Loup (2016). Stabilisation de la formule des traces tordue. Volume 1 (in French). Cham. ISBN 978-3-319-30049-8. OCLC 965778158.{{cite book}}: CS1 maint: location missing publisher (link)
  4. ^ "Publications".
  5. ^ "DIX-HUIT NOUVEAUX MEMBRES ÉLUS A L'ACADÉMIE DES SCIENCES" (PDF). 6 December 2017.


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