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Canonical Feynman integrals and cohomology of GL_n

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NC2W02 - Crossing the bridge: New connections in number theory and physics

Since the first connections between Feynman integrals and number theory were observed in the 1990’s, a huge effort has gone into developing mathematics to better understand perturbative quantum field theory. Nonetheless, it is still an open question whether Feynman integrals admit a direct geometric interpretation within pure mathematics. In this talk I shall consider stable cohomology classes on real, complex, and quaternionic general linear groups, and show that their integrals provide a specific class of Feynman integrals in 2 and 4 spacetime dimensions with remarkable properties.

This talk is part of the Isaac Newton Institute Seminar Series series.

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