The formalism of factorizability

Mardi 9 novembre 2010 16:00-17:00 - Kapranov Mikhail - Université de Yale

Résumé : The concept of a factorization semigroup can be seen as providing a nonlinear generalization of the structure of a vertex operator algebra. It is a certain algebraic structure on an (ind-)scheme, remindful, in a way, of a group structure. It makes sense, therefore, to systematically study geometric objects (functions, line bundles, gerbes etc.) which are factorizable, i.e., compatible with this structure. I will describe this formalism as well as its meaning for the factorization semigroup formed by the spaces of formal loops, in which case factorizable objects can be described in terms of the Radon transform. Joint work with E. Vasserot.

Lieu : bât. 425 - 113-115

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