Reflection Principle in Higher Dimensions
Sergey Pinchuk

Indiana University, Bloomington, IN 47405, USA

& Southern Ural State University, Chelyabinsk, 454080, Russia

I will give an introduction to the multidimensional geometric reflection principle which is essentially the method of Segre varieties and is the main tool of analytic continuation of CR mappings between real analytic manifolds in C^n. It will be illustrated by some recent results in this direction.