Classification of Algebraic Surfaces
Algebraic surfaces can be classfied using birational equivalence and Kodaira dimension. This is called the Enriques-Kodaira classfication. I believe that everyone who works on algebraic geometry will come across this subject at some point. So I will briefly describe this theory in my talk. The minimal model program will also be mentioned.
The talk will be expository, containing many concrete examples and with few proofs.