Accueil > L’INSTITUT > À la Une

Nouvelle - Evénement - Annonce

Johannes Sjöstrand reçoit le prix Bergman 2018

Johannes Sjöstrand Awarded 2018 Bergman Prize

par adminweb - publié le

Johannes Sjöstrand, Directeur de recherche émérite à l’institut de mathématiques de Bourgogne, a reçu le prix Bergman Prize 2018 - AMS

Johannes Sjöstrand, University of Bourgogne, has been awarded the 2018 Bergman Prize for his fundamental work on the Bergman and Szegő kernels, as well as for his numerous fundamental contributions to microlocal analysis, spectral theory, and partial differential equations (PDEs).

He is especially being recognized for his groundbreaking work with L. Boutet de Monvel on describing the singularities and asymptotics of the Bergman and Szegő kernels in strictly pseudoconvex domains in $\BbbC^n$. This work has been highly influential in subsequent developments on these and related topics.

Sjöstrand is also being recognized for his contributions to microlocal analysis, spectral theory, and PDEs. Together with A. Melin, he has developed the theory of Fourier integral operators with complex-valued phase functions, with applications to the oblique derivative problem. In joint work with R. B. Melrose, he has obtained fundamental results on the propagation of singularities for boundary value problems. His work in the theory of scattering resonances, including joint work with M. Zworski, has had a truly revolutionary impact on the subject. Among the many groundbreaking results obtained by Sjöstrand in this direction are a microlocal version of the method of complex scaling and a local trace formula for resonances.

Sjöstrand has given numerous decisive contributions to the spectral theory of non-self-adjoint operators, including operators of Kramers-Fokker-Planck type (joint work with F. Hérau and C. Stolk) and analytic non-self-adjoint operators in dimension two (joint work with A. Melin and with M. Hitrik). More recently, he has completed a deep and fundamental analysis of the Weyl asymptotics for the eigenvalues of non-self-adjoint differential operators in the presence of small random perturbations.

Voir en ligne : American Mathematical Society