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20/01/2017, 11:30 — 12:30 — Room P3.10, Mathematics Building

Urs Schreiber, *Czech Academy of Sciences, Prague*

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Duality in String/M-theory from Cyclic cohomology of Super Lie $n$-algebras

I discuss how, at the level of rational homotopy theory, all the pertinent dualities in string theory (M/IIA/IIB/F) are mathematically witnessed and systematically derivable from the cyclic cohomology of super Lie $n$-algebras. I close by commenting on how this may help with solving the open problem of identifying the correct generalized cohomology theory for M-flux fields, lifting the classification of the RR-fields in twisted K-theory.

This is based on joint work with D. Fiorenza and H. Sati arxiv:1611.06536

#### See also

https://ncatlab.org/schreiber/show/Super+Lie+n-algebra+of+Super+p-branes