Prelude to the theory of unique continuation

It is known from complex analysis/real analysis that if a holomorphic/real analytic function vanishes with all its derivatives at a point, then it is identically zero in that connected component. This property is referred to as the strong unique continuation property of that function. Such a property extends to solutions of several partial differential equations and this in turn has applications to many problems that lie in the crossroad of analysis and geometry. In this talk, I will present a brief historic overview of the subject and then give a glimpse of some recent
developments.

Bio
https://sites.google.com/view/agnid-banerjee