6 problems

Let ${\cal B}_{\it Lie}^*$ be the differential graded operad of natural operations on the Chevalley–Eilenberg complex of a Lie algebra with coefficients in itself, and let…

Let $S$ be a monoid, and let $\mathcal{F}$-PureMono be the class of pure monomorphisms of right $S$-acts whose Rees quotient is flat. A class of monomorphisms is cellularly generat…

Let ${\cal A}$ be the cooperad governing the OPE data, let $H$ be the state space regarded as an ${\cal A}$-algebra, and let $\mathfrak g$ be the $L_{\infty}$-algebra controlling f…

Morita equivalence conjecture. The theories of weakly stable weak identity types and strictly stable weak identity types are Morita equivalent: for every $I_{ws}$-cellular model…

Let $A$ be an $4\mathcal E_n$ algebra, and let $B A$ denote its bar construction, regarded as an $4\mathcal E_{n-1}$ Hopf algebra. Let $\Omega B A$ be the cobar construction applie…

Let $H$ be a bimonoid in a monoidal model category $\mathbf M$. Suppose that the category $\mathbf{Alg}_{H}$ of $H$-comodule algebras admits a model structure for which the coinvar…