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### Condensed Matter Seminars

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I will introduce Connes’ notion of non-commutative geometry, and explain how it offers a novel geometric perspective on certain otherwise unexplained features of the standard model of particle physics, and a more restrictive framework than effective field theory for exploring physics beyond the standard model. I will also explain the main ideas behind a new reformulation of NCG which has certain key mathematical and physical advantages over Connes’ traditional “spectral triple” formulation. In this reformulation, the traditional NCG axioms are considerably simplified and unified; a number of problematic issues in the traditional NCG construction of the standard model are fixed; and a certain extension of the standard model of particle physics (with two new particles) is predicted.