Building on [BRTV], we present an `-adic trace formula for smooth and proper dg-categories over a base E∞-algebra B. We also give a variant when B is only an E2-algebra. As an application of this trace formula, we propose a strategy of proof of Bloch’s conductor conjecture. This is a research announcement and detailed proofs will appear elsewhere.
The l-adic trace formula for dg-categories and Bloch's conductor conjecture / gabriele vezzosi. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - STAMPA. - 12:(2019), pp. 1-15. [10.1007/s40574-018-0166-0]
The l-adic trace formula for dg-categories and Bloch's conductor conjecture
gabriele vezzosi
2019
Abstract
Building on [BRTV], we present an `-adic trace formula for smooth and proper dg-categories over a base E∞-algebra B. We also give a variant when B is only an E2-algebra. As an application of this trace formula, we propose a strategy of proof of Bloch’s conductor conjecture. This is a research announcement and detailed proofs will appear elsewhere.
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