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This mathematical physics seminar presents a geometric perspective on the pure spinor superfield formalism and its applications to twisted supergravity. Explore how Fabian Hahner from the University of Washington uses this technique to construct the full interacting theory of eleven-dimensional supergravity along with all its twists in a uniform and geometric way as homotopy Poisson–Chern–Simons theories. Learn how this approach not only simplifies the computation of twists significantly but also provides new insights into the supergeometric origin of supergravity. Discover the construction of local dg Lie algebras that recover conformal supergravity multiplets and their twists in terms of a geometric moduli problem on superspace.