7 problems

SL(2) finite-field Dijkgraaf–Witten asymptotic conjecture. The partition function of $\mathrm{SL}(2,\mathbb{F}_q)$ Dijkgraaf–Witten theory, twisted by $k\omega$, can be written as

In $(3+1)$-dimensional spacetime, consider bosonic topological orders without emergent fermions. Wang–Levin conjecture. Such topological orders are described by Dijkgraaf–Witten th…

A 3+1-dimensional bosonic topological phase is a bosonic topological phase whose point-like particles are bosonic. Dijkgraaf–Witten realization conjecture. All 3+1-dimensional boso…

Point-value conjecture. The data assigned to the point is the tricategory of module bicategories for the fusion bicategory $\mathsf{2Vec}_G^\pi$.

Twisted Dijkgraaf–Witten center decomposition conjecture. There is an equivalence of $n$-categories

Obstruction correspondence. The vanishing of the second obstruction in the spectral sequence should allow extension of the symmetry to the extended Dijkgraaf–Witten theory, the van…

Let $G$ be a finite group, let $\tau_h$ denote the transgression map, and let $\omega\in Z^{n+2}(G,\mathbf{k}^{\times})$. Suppose that a suitable notion of an $n$-category has been…