7 problems

Let $f/g:\mathbb{P}^1\to\mathbb{P}^1$ be a pointed rational function with vanishing locus $D=\{r_1,\ldots,r_n\}\subset\mathbb{A}^1_k$. Let $m_i(x)\in k[x]$ denote the monic minimal…

Let $A$ be an abelian variety of dimension $g$ over a field $k$ with $\operatorname{char}(k)\neq 2$, and let $\lambda\colon A\to A^\vee$ be a principal polarization. For each…

Product conjecture for Grothendieck–Witt spectra. There is a canonical equivalence of spectra

Let $NcS^{\cdot-\cdot}$ be the category whose objects are dg-categories and whose morphisms are pairs of dg-functors $F,G$ equipped with a natural equivalence $F\simeq G$. Let…

Let $NcS$ be the category whose objects are dg-categories without additional structures, and let $\widetilde{NcS}(S)$ and $DM^{\mathcal{GW}}_{nc}(k)$ be the categories constructed…

Let $k$ be the base field, let $\mathbf{SH}(k)_{\mathbb Q}$ denote the rational stable motivic homotopy category, and let $DM^{\mathcal{GW}}_{nc}(k)_{\mathbb Q}$ denote the rationa…

Let $k$ be a base field, let $n$ and $i$ be integers with $n\geq 4$ and $i\geq 0$, and write $S^{(n-1+i)+n\alpha}$ for the corresponding motivic sphere. Let…