Trace formula for dg-categories and Bloch's conductor conjecture I
Trace formula for dg-categories and Bloch's conductor conjecture I
We present an $\ell$-adic trace formula for saturated and admissible dg-categories over a base monoidal dg-category. As an application, we prove (a version of) Bloch's conductor conjecture, under the additional hypothesis that the inertia group acts with unipotent monodromy.