5 problems

Lück–Sauer–Wegner conjecture. Their $L^2$-torsions satisfy

Let $\Gamma$ be a biexact group acting trace-preservingly on a von Neumann algebra $N$, and let … Let $P,Q\subset M$ be commuting von Neumann subalgebras. Relative solidity conject…

Let two Gaussian measures on a Euclidean space have squared exponential covariograms, with decay and spatial variance parameters. Squared-exponential equivalence conjecture. The tw…

Let two Gaussian measures on $\mathbb{R}^4$ have Matérn covariograms, with decay and spatial variance parameters. Matérn equivalence conjecture. The two measures are equivalent if…

Let $G$ and $H$ be countable groups such that all the $L^2$-Betti numbers of $G$ and $H$ vanish. Assume that both $G$ and $H$ admit finite CW-models for their classifying spaces. T…