4 problems

Let $G$ be an algebraic group, let $\Psi$ be a semisimple conjugacy class in $G$, choose $h\in\Psi$, and let $Z={\mathcal Z}_G(h)$. For a $G$-space $X$, write…

Let $X$ be a normal integral scheme of finite type over a complete local ring $(R,\mathfrak{m})$ such that $R/\mathfrak{m}$ has positive characteristic. Let $B\geq 0$ be a…

Let ${\mathcal{O}}$ be a reduced operad in the closed symmetric monoidal category $({\mathsf{Mod}_{\mathcal{R}}},\wedge,{\mathcal{R}})$ of ${\mathcal{R}}$-modules, satisfying the c…

Let $G$ be a finite group and let $S^0_G$ denote the equivariant sphere spectrum in $\mathrm{Sp}_G$. Its Borel-completion is obtained by completing at the augmentation ideal in … w…