Colloquium abstracts

Christopher Hacon*
University of Utah, USA
June 12, 2020

Geometry of Complex Algebraic Varieties:  Algebraic varieties are geometric objects defined by polynomial equations. The minimal model program (MMP) is an ambitious program that aims to classify algebraic varieties. According to the MMP, there are 3 building blocks: Fano varieties, Calabi-Yau varieties and varieties of general type corresponding to positive, zero and negative curvature. In this talk I will recall the general features of the MMP and discuss recent advances in our understanding of Fano varieties and varieties of general type.