4 problems

Let $\mathcal{T}$ be a smooth proper dg-category over $\mathbb{C}$. Write $K_{\operatorname{top}}(\mathcal{T})$ for its topological K-theory spectrum,…

Stringy Euler-characteristic conjecture. The stringy Euler characteristic of $X$ can be computed as the Euler characteristic of an NCCR, computed via periodic cyclic homology.

Let $G$ be a discrete group. For an element $x$ in $G$, let $G_x$ denote its centralizer, let $N_x=G_x/\langle x\rangle$ be the reduced centralizer, and let…

Let ${\mathcal G}$ be a reductive $p$-adic group and let ${\mathfrak s}$ be a point in the Bernstein spectrum of ${\mathcal G}$. Let…