What is now called Hodge theory is a culmination of great amount of efforts starting from the works of Augustin Louis Cauchy (1789-1857), Niels Henrik Abel (1802-1829), Carl Gustav Jacob Jacobi (1804-1851) and Georg Friedrich Bernhard Riemann (1826-1866) on elliptic and abelian integrals, Jules Henri Poincaré’s (1854-1912) Analysis Situs, Charles Émile Picard’s (1856-1941) intensive study of multiple integrals, Solomon Lefschetz’s (1884-1972) treatise on the topology of smooth projective varieties, William Vallance Douglas Hodge’s (1903-1975) description of the de Rham cohomology of projective varieties, Phillip Augustus Griffiths’ (1938-) breakthrough applications of it in algebraic geometry and Pierre René Deligne’s (1944-) vast generalization of it into mixed Hodge structures; just to mention the name of some of the main contributers. The main aim of this one day workshop is to have a glance at this topic and some of its main conjectures.