Abstract
Exceptional field theory (EFT) gives a geometric underpinning of the U-duality symmetries of M-theory. In this paper I give an overview of the surprisingly rich algebraic structures which naturally appear in the context of EFT. This includes Borcherds superalgebras, Cartan type superalgebras (tensor hierarchy algebras) and $$L_\infty $$ algebras. This is the written version of a talk based mainly on Refs. [1–6].
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