Kavli Affiliate: Tomoyuki Abe
| Summary:
We prove the compatibility of pushforward along a proper morphism of an étale constructible sheaf and the pushforward of its characteristic cycle up to $p$-torsion. This was conjectured by Takeshi Saito. For this, we revisit the construction of the characteristic cycle, due to Saito and Beilinson, from more homotopical point of view. In particular, the language of $infty$-categories is indispensable to carry this out.
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