Development of Mathematics during Recent 60 Years with Special Regard to Algebraic Geometry(<Special Section>60 Years of Mathematics and Logic)

Abstract

In the present notes we shall discuss history of algebraic geometry form Riemann to today. Emphasis is placed on the development in 20th century. We shall show that there are three driving forces of the development, namely the Riemann hypothesis of algebraic curves over finite fields, theory of algebraic functions and compact Riemann surfaces, and geometry of algebraic curves and surfaces.