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BIRS Workshop Lecture Videos

Dirac geometry Hesselholt, Lars


This talk is a report on joint work with Piotr Pstragowski. Our purpose is to argue that, in higher algebra, there exists an intrinsic structure akin to spin that manifest itself through the fact that the homotopy groups of a commutative algebra form a commutative algebra in the symmetric monoidal category of graded abelian groups. The geometry built from such algebras, which we call Dirac geometry, is a natural extension of $\mathbb{G}_m$-equivariant geometry in which half-integer Serre twists exist.

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