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Homotopy Theory Seminar

Thursday, November 17, 2022 - 3:30pm

Piotr Pstragowski

Institute for Advanced Study


University of Pennsylvania

The rings which appear naturally in derived contexts, for example as homology of differential graded algebras, are graded-commutative in the Koszul sense; that is, odd degree elements anticommute. In this talk, I will describe joint work with Lars Hesselholt where we develop algebraic geometry built out of such rings, which we call Dirac geometry. The latter can be considered as a natural extension of G_m-equivariant algebraic geometry where the Serre twist has a square-root. I will describe some applications to stable homotopy theory.