Flippin' and Floppin' through Dream Spaces

Start: 04/13/2011 - 4:15pm
End  : 04/13/2011 - 5:00pm


John Levitt (Occidental College)


One of the primary goals of any branch of mathematics is to classify the objects of study.  In algebraic geometry, much progress has been made in the last several years on the classification of projective varieties, which can be thought of as zero loci of homogeneous polynomials endowed with the Zariski topology.  The cases of curves and surfaces were well understood during the first half of the 20th century, but higher dimensional varieties proved too difficult to classify until more modern techniques were invented.  In this talk, I will discuss an algorithmic approach called the Minimal Model Program (MMP) and results of the last decade that give hope that this will complete the general classification.  Furthermore, I will discuss work on Mori Dream Spaces, varieties on which the MMP works particularly nicely.

Roberts North 15, CMC campus