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.