A general framework on singularity

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• Tommaso de Fernex (Utah)
• Wednesday 20 October 2010, 14:15-15:15
• MR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

The minimal model program has led to the introduction of several notions of singularities. Because of the very notion of the program, these notions are somewhat of a cohomological type, because 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 extend 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 gain some new insight in global geometry. This talk is based on joint work with C. Hacon, and with S. Boucksom and C. Favre.

This talk is part of the Algebraic Geometry Seminar series.

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