Speaker: Tommaso de Fernex (Utah)

Title: A general framework on singularity.
Abstract: The minimal model program has led to the introduction of several notions of singularities. Because of the very nature of the program, these notions are somewhat of a cohomological type, as they require certain "Cartier conditions" to hold. One can however extend the theory to a completely general setting, by working with Weil divisors which are homological objects, and many of the features of the theory extends to such a setting. Already the simple case of cone singularities offers an interesting class of examples, and by working in such generality one can also gain some new insight in global geometry. This talk is based on joint works with C. Hacon, and with S. Boucksom and C. Favre.