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math.GR2020
Adelic superrigidity and profinitely solitary lattices
Holger Kammeyer, Steffen Kionke
By arithmeticity and superrigidity, a commensurability class of lattices in a higher rank Lie group is defined by a unique algebraic group over a unique number subfield of $\mathbb…
math.GR2020
On the profinite rigidity of lattices in higher rank Lie groups
Holger Kammeyer, Steffen Kionke
We investigate which higher rank simple Lie groups admit profinitely but not abstractly commensurable lattices. We show that no such examples exist for the complex forms of type $E…
math.GT2020
A note on -adic simplicial volumes
Steffen Kionke, Clara Loeh
We define and study generalizations of simplicial volume over arbitrary seminormed rings with a focus on -adic simplicial volumes. We investigate the dependence on the prime and…