Steffen Kionke

activity

20122025

most citedZeta functions associated to admissible representations of compact p-adic Lie groups

5 citations · 49 across the 28 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.AT2017★ 2 cited

The growth of Betti numbers and approximation theorems

Steffen Kionke

These short lecture notes provide a brief introduction to the field of homology growth. They are composed out of two lectures, which I have given at the Borel seminar 2017 in Les D…

math.GR2017★ 5 cited

Zeta functions associated to admissible representations of compact p-adic Lie groups

Steffen Kionke, Benjamin Klopsch

Let $G$ be a profinite group. A strongly admissible smooth representation $ρ$ of $G$ over $C$ decomposes as a direct sum $ρ\cong \bigoplus_{π\in \mathrm{Irr}(G)} m_π(ρ) \,…

math.GR2017★ 5 cited

Characters, $L^{2}$ -Betti numbers and an equivariant approximation theorem

Steffen Kionke

Let $G$ be a group with a finite subgroup $H$ . We define the $L^{2}$ -multiplicity of an irreducible representation of $H$ in the $L^{2}$ -homology of a proper $G$ -CW-complex. These inva…

The growth of Betti numbers and approximation theorems

Zeta functions associated to admissible representations of compact p-adic Lie groups

Characters, L2-Betti numbers and an equivariant approximation theorem

Characters, $L^{2}$ -Betti numbers and an equivariant approximation theorem