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).

＊6月17日(水) 10:00〜12:00は数理解析研究所420号室において行います．

Poster (PDF)