5 problems

Let $G$ be a locally compact group and let $u$ be a spread out probability measure on $G$. A $u$-boundary is a boundary associated with the measure $u$, and it carries an as…

Toric-code boundary nonlocality conjecture. Any boundary Hilbert space of the toric code cannot be realized as a 1D local tensor-product Hilbert space (LTPS).

Boundary Hilbert-space nonlocality conjecture. The emergent symmetries arising from bulk topological order imply that the boundary Hilbert space does not admit a local tensor produ…

Let $\Gamma$ be a finitely generated group hyperbolic relative to a collection of subgroups, and let a $Z$-boundary and the Floyd boundary of $\Gamma$ be given as in Corollary. Aut…

Let $H$ be a purely real Heintze group of dimension at least $2$, and let $\partial H$ denote its boundary. Let $\omega$ be the point of $\partial H$ fixed by $H$. Pointed sphere c…