The first glimpse into real projective geometry and some real enumerative problems.

Projective geometry was mainly developed in the 19th century and its combination with algebraic geometry made projective algebraic geometry an important breakthrough in mathematics. In the first part, I will present real projective geometry with some concrete examples. In the second part, I will refer to real enumerative problems, concerning with counting numbers of signed curves in certain real projective spaces, known as Welschinger's invariants.