4 problems

Conjecture on the cotangent complex over the field of one element. There exists a functor

Sphere-spectrum duality claim. The result established for coherent, eventually coconnective commutative dg algebras over $\C$ also holds over $\mathbb{S}$: the restricted duality f…

Work over the complete topological $k\llbracket\hbar\rrbracket$-modules, with their symmetric monoidal structure, and let $\mathbbst{BD}_0$ and $\mathbbst{BD}_1$ denote the corresp…

For ${\bm{b}}=(b_1,\ldots,b_m)$, let $E_{\bm{b}}$ be the colored polynomial algebra and let $I_{\bm{b}}\vartriangleleft E_{\bm{b}}$ be the colored full-twist ideal. Let…