Varieties of general type are the higher dimensional analog of Riemann surfaces of genus $g\geq 2$. If $X\subset \mathbb P ^N _{\mathbb C}$ is a variety of general type then, by definition, the sections of $H^0(\omega _X^{\otimes m})$ determine a birational map for all sufficiently big integers $m>0$.
In these lectures we will explain recent results on the boundedness of varieties of general type that ultimately lead to the construction of a corresponding moduli space (more precisely to the construction of the KSBA proper functor of log canonically polarized log canonical pairs).

*Please note that a lecture on Wednesday, June 17 will take place at Room 420, RIMS, from 10:00 to 12:00.

Poster (PDF)