Askold Khovansky - Algebraic geometry and geometry of convex polyhedra

Newton polyhedra provide a connection between Algebraic Geometry and Geometry of Convex Polyhedra. This connection is useful in both directions. On the one hand it gives visible and understandable answers on the numerous questions which came from Algebraic Geometry. On the other hand it suggests algebraic intuition in the Geometry of Convex polyhedra. The talk will contain a review of the subject including some new results.