In this talk I will review the present status of inflationary cosmology and
its emergence as the basic paradigm behind the Standard Cosmological Model,
with parameters determined today at better than 10% level from CMB and LSS
observations. I will also discuss the recent theoretical developments on the
process of reheating after inflation and model building based on string theory
and D-branes.Comment: 14 pages, 6 figures, LaTeX, uses espcrc2.sty (included