In this paper, we introduce and study representation homology of topological spaces, which
is a natural homological extension of representation varieties of fundamental groups. We …

Let GG be an affine algebraic group defined over a field kk of characteristic 0. We study the
derived moduli space of GG‐local systems on a pointed connected CW complex XX …

In this paper, we define and study derived character maps of finite-dimensional
representations of homotopy simplicial groups, which are homotopy algebras over the …

We establish a connection between commuting varieties $ C_g (G) $(potentially of higher
genus), which are associated with a group scheme $ G $ consisting of upper triangular …

We define and study (derived) character maps of finite-dimensional representations of∞–
groups. As models for∞–groups we take homotopy simplicial groups, ie the homotopy …

Let g be a finite-dimensional reductive Lie algebra (over R or C), h⊆ g its Cartan
subalgebra, R⊂ h∗ a root system of g, Q= Q (R), the root lattice (spanned by R). Write the …