Extracting subcomplexes on nilpotent groups without relying on homogeneous structures

Abstract: I will present a general construction of subcomplexes on nilpotent Lie groups equipped with a Riemannian metric. The aim is to emphasise how relying on different structures (homogenous and non-homogenous ones) affects the resulting subcomplex. I will then show how particular subcomplexes are better suited than others depending on the geometric setting and the possible applications.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Differential geometry.

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