Some configurations of planes in projective spaces

03/05/2013 - 12:15pm
03/05/2013 - 1:10pm
John Levitt (Occidental College)

In this talk we will give example of how geometric techniques can be used to solve a linear algebra problem about the existence of projective planes with particular intersection properties. Then we will look at how this is a key ingredient in finding Mori embeddings induced by the gradings of the Cox or homogeneous coordinate rings of del Pezzo surfaces into toric varieties. These embeddings allow one to understand the Minimal Model Program applied to the surfaces via the combinatorics associated with the fan of the toric variety.

Millikan 208 (Pomona College)