Bowen Lectures: Lecture 2: On the birational classification of algebraic varieties

Lecture | February 20 | 4:10-5 p.m. | Sutardja Dai Hall, Banatao Auditorium

 Christopher Hacon, University of Utah

 Department of Mathematics

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 which are higher dimensional analogs of Riemann Surfaces of genus 0,1 or at least 2 respectively. 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.