Birational Geometry and the Moduli Spaces of some Varieties of General Type

In the first part of the seminar, I will discuss the concept of Birational Geometry, introduce some birational iInvariants and the moduli spaces of varieties of general type, along with a few examples that I consider significant. In the second part, I will present some recent results, obtained in collaboration with S. Coughlan, Y. Hu, and T. Zhang, on certain moduli spaces of three-dimensional varieties of general type.