Differential Geometry Working Seminar

Spiro Karigiannis, University of Waterloo

Unique continuation in geometry

I will introduce the notion of unique continuation in geometry, closely following a survey article by Jerry Kazdan (CPAM 1988). Not all elliptic PDE exhibit the phenomenon of unique continuation, but most important elliptic PDE arising in geometry do, such as the Laplace equation, the Cauchy-Riemann equation, and the harmonic map equation.