Lectures on Algebraic Geometry
Caucher Birkar is a professor at the University of Cambridge in the United Kingdom. His research area is algebraic geometry. In the International Congress of Mathematicians in 2018, Prof. Caucher Birkar was awarded the Fields medal, the highest honor for mathematicians, for his works on boundedness of Fano varieties and the minimal model program.
Topics aimed to be covered:
Lecture 1, Singularities: definition and examples of singularities, some basic properties.
Lecture 2, Birational geometry of surfaces: contractions, minimal model program, classification.
Lecture 3, Quotient varieties: definition and examples of local and global quotients, singularities.
Lecture 4, The weighted projective space: definition as quotient of projective space, singularities, Fano property, unboundedness, anti-canonical volume.
Lecture 5, Cremona groups: definition, examples, Jordan property for dimension two with proof, simple finite subgroups.
Contact person: Prof. Si Li
Zoom Meeting ID：849 963 1368
Tencent Meeting ID：585 2904 5552