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Vector bundles over unordered configuration spaces

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Speaker: 
Leonid Ryvkin
Zugehörigkeit: 
Université Lyon 1 / Göttingen
Datum: 
Mit, 23/04/2025 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

I will describe a recent construction of a symmetrized external tensor product of vector bundles of unordered configuration spaces (over some fixed manifold M). Together with the usual tensor product this construction induces a 2-monoidal structure on these vector bundles and naturally appears when trying to construct a geometric model for the multilocal observables in field theory. I will also discuss how equipping the configuration with a certain natural bornology can compensate the fact that they are non-compact, even when the initial manifold M is. This is based on joint work with Alessandra Frabetti and Olga Kravchenko

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