Joaquín Morage, UCLA

Abstract: Fano varieties are one of the three important blocks of algebraic varieties. In this talk we will review the history of Fano varieties Then, we will discuss some recent invariant, called the coregularity of the Fano variety that measures certain combinatorial complexity of the variety. We will explain how this invariant reflects in the geometry of the Fano variety and how it can help for the classification of such varieties.