Higher Structures in Geometry and Mathematical Physics

Leonid Ryvkin : Differentiation of simplicial manifolds

3 juil. 2023, 11:00

1h

Hermite (IHP)

Description

Kan simplicial manifolds provide with a very explicit model for $L_{\mathrm{\infty }}$-groupoids. Pavol Severa proposed a procedure of differentiation for these objects, yielding an $L_{\mathrm{\infty }}$-algebroid, (an NQ-manifold). In the talk I will report on joint work with Rui Fernandes, Du Li, Arne Wessel and Chenchang Zhu, where we have proven that this procedure always works.