Abstract:
In this talk, I would like to give a brief survey of
explicit geometry of birational maps in minimal model program in
dimension three.The purpose of minimal model preogram in algebraic geoemtry
is to find a good model inside a birational equivalent class. Starting from a
nonsingular projective variety, one expects to produce a minimal model by
various birational contractions. These contractions consists of divisorial
contractions, flips and flops. We will give some elemetary examples and show
that birational maps in dimension three can be decomposed into a sequence
of simpler ones.
Tea Time: 3:30PM R707(七樓休息室)