Trace and Künneth formulas for singularity categories and applications
Trace and Künneth formulas for singularity categories and applications
We present an $\ell$ -adic trace formula for saturated and admissible dg-categories over a base monoidal differential graded (dg)-category. Moreover, we prove Künneth formulas for dg-category of singularities and for inertia-invariant vanishing cycles. As an application, we prove a categorical version of Bloch's conductor conjecture (originally stated by Spencer Bloch …