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Abstract: This article gives an overview of recent results on the relation betweenquantum field theory and motives, with an emphasis on two different approaches:a -bottom-up- approach based on the algebraic geometry of varieties associatedto Feynman graphs, and a -top-down- approach based on the comparison of theproperties of associated categorical structures. This survey is mostly based onjoint work of the author with Paolo Aluffi, along the lines of the firstapproach, and on previous work of the author with Alain Connes on the secondapproach.



Autor: Matilde Marcolli Caltech

Fuente: https://arxiv.org/







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