3 problems

Let $\operatorname{Tr}$ be the universal dg monoidal trace, let $\operatorname{Tr}(\mathbbm{1})$ be the trace of the monoidal unit, and let $X$ be a twisted complex built out of su…

Let $W$ be a Coxeter group with realization $V$ over $\mathbb{C}$, and let $\mathcal{C}(W)$ denote the corresponding Soergel Hecke category. Let $\operatorname{Tr}$ be its universa…

Let $W$ be a Coxeter group with simple reflections $S\subset W$, a realization $V$ over $\mathbb{C}$, and let $\mathrm{SBim}(W)$ be the associated monoidal category of Soergel bimo…