In algebraic geometry, Gromov–Witten (GW) invariants are rational numbers that, in certain situations, count pseudoholomorphic curves meeting prescribed conditions. These invariants have been used to distinguish spaces that were previously indistinguishable. In the talk, I will give an introduction to the Gromov-Witten theory and the moduli space of n-pointed curves while minimizing the prerequisites. I will only assume the algebraic geometry at the level of Hartshorne's Chapter 1.

The talk is based on: