https://hu-berlin.zoom.us/j/61686623112

Maximal supergravity theories in 10 and 11 dimensions,

which are the low-energy limits of string and M-theory, exhibit

rich and surprising mathematical features. Notably, upon dimensional

reduction of d space-like dimensions they exhibit symmetries under

the exceptional groups $E_{d(d)}$. These symmetries were completely

mysterious from the viewpoint of the original theory. I introduce a

framework called "exceptional field theory" that explains these symmetries.

It is based on a novel kind of geometry,

in which the diffeomorphism invariance underlying general relativity

is unified with various "higher-form" symmetries. I elaborate on the

higher algebraic structures that these generalized diffeomorphisms

display, including Lie-infinity and Leibniz-Loday algebras.

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