Prof. Yves COLIN DE VERDIÈRE and Prof. Laure SAINT-RAYMOND have recently found a fascinating connection between modeling of internal waves in stratified fluids and spectral theory of 0th order pseudodifferential operators on compact manifolds. The speaker will provide an introduction to both the spectral and internal waves aspects of the subject and will illustrate them numerically. He will then explain how microlocal estimates provide asymptotic description of linearized equations and conclude with the discussion of the effects of viscosity.
About the speaker
Prof. Maciej Zworski received his PhD in Mathematics from Massachusetts Institute of Technology in 1989, and was an Assistant Professor there until 1992. He had been faculty at Johns Hopkins University and the University of Toronto. In 1998, he joined the University of California, Berkeley and is currently the Professor of Mathematics.
Prof. Zworski’s research interests include microlocal analysis, scattering theory, and partial differential equations. He is the Founding Editor-in-Chief of Analysis & PDE and Pure and Applied Analysis. He is also in the editorial board of Inverse Problems and Imaging, American Journal of Mathematics and Methods and Applications of Analysis, etc.
Prof. Zworski was elected the Fellow of the Simons Foundation, the Royal Society of Canada and the American Academy of Arts and Sciences. He was also awarded the Coxeter-James Prize by the Canadian Mathematical Society in 1999 and a Honorary Doctoral Degree by the Université Paris-Sud in 2018.
