Description
The integration and differentiation processes between higher Lie groupoids and higher Lie algebroids
are active areas of research. The differentiation of a higher Lie groupoid should produce its tangent
complex, a replacement for the tangent space of a Lie group, equipped with suitable extra structure
that describes its higher Lie algebroid structure. In the talk it will be shown how a construction of
Severa for the differentiation of higher Lie groupoids may be generalized for simplicial manifolds
which lack the extra conditions making them higher Lie groupoids. The idea is that simplicial
manifolds still satisfy "local" versions of Kan conditions, which suffices to define a well-defined
notion of tangent complex and perform Severa´s construction.
