Speaker: David Wen

 

Title: Fixed Divisors, If It ain't Broke

 

Algebraic Geometry has always related the geometry of geometric spaces with the algebra of algebraic structures. This is first seen with the Nullstellensatz relating ideals and closed subvarieties. The next level would be the relation between divisors and line bundles. This relation allows us to extract geometric information out of our spaces as well as define morphisms on our geometric spaces that can have many different type of behavior. This talk will give a little more insight into these techniques of divisors and line bundles, more specifically of a nice theorem on fixed divisors.