Seminar series
Date
Fri, 27 Nov 2009
16:30
16:30
Location
L2
Speaker
Professor Alessio Corti
Organisation
London
A key birational invariant of a compact complex manifold is its "canonical ring."
The ring of modular forms in one or more variables is an example of a canonical ring. Recent developments in higher dimensional algebraic geometry imply that the canonical ring is always finitely generated:this is a long-awaited major foundational result in algebraic geometry.
In this talk I define all the terms and discuss the result, some applications, and a recent remarkable direct proof by Lazic.