Birational boundedness of algebraic varieties.

Birational boundedness of algebraic varieties.

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Christopher Hacon, The University of Utah
Fine Hall 314

Algebraic varieties are geometric objects defined by polynomial equations. The minimal model program (MMP) is an ambitous program that aims to classify algebraic varieties. According to the MMP, there are 3 building blocks: Fano varieties, Calabi-Yau varieties and varieties of general type. In this talk I will recall the general features of the MMP and discuss recent advances in our understanding of Fano varieties and varieties of general type.