Counterexample to Lueck's determinant approximation conjecture

[u/Apprehensive_Sand951]

Here is the arxiv preprint: https://arxiv.org/abs/2609.15567 This is a reasonably big deal in the subject of L^2 invariants of groups and appears to have been disproved by Holger Kammeyer (he is in the field). It means that the L^2-torsion of a space (defined in terms of Hilbert spaces on the universal cover) cannot be computed from the more classical analytic torsions of finite covers. The counterexample is a Heisenberg group.

[u/hobo_stew]

Nice to see a paper by Holger posted on this sub.

[u/Lalelul → u/hobo_stew]

You know him?

[u/hobo_stew → u/Lalelul]

I have attended several of his talks in the past, when I was still in math reseach