Boundedness of algebraic varieties -- Chenyang Xu, February 11, 2011

I would like to talk about a recent result which verifies a conjecture of Alexeev and Kollár. The applications include a linear bound on the orders of the automorphism groups of general type varieties, Shokurov's ACC conjecture on log canonical thresholds, and boundedness of higher dimensional stable schemes and certain Fano varieties. This is joint work with Christopher Hacon and James McKernan.