Analysis on Asymptotically Hyperbolic and de Sitter Spaces

Abstract

The speaker will describe recent work on the spectral family of the Laplace, respectively wave, operators on asymptotically hyperbolic, respectively de Sitter spaces obtained by gluing these spaces at their conformal boundaries. The resulting operator is on a compact manifold without boundary, and it is very amenable to Fredholm analysis even though it changes type (elliptic vs. hyperbolic).

About the speaker

Prof. András Vasy received his PhD in Mathematics from the Massachusetts Institute of Technology (MIT) in 1997. He had been faculty members of Mathematics at the University of California at Berkeley and MIT later. He is currently Professor of Mathematics at Stanford University.

Prof. Vasy’s research interests include microlocal Analysis, partial differential equations, many-body scattering, symmetric spaces and analysis on manifolds.