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arXiv · 2510.09582

Cohomology theories in the moduli of ring stacks

Dhilan Lahoti·Deven Manam
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Abstract

We show that the natural map from the syntomification of a ring $R$ to the stack of $R$-algebra stacks is fully faithful, answering a question of Drinfeld, and we describe its essential image in terms of underlying monoid stacks. We also give similar statements in the characteristic 0 filtered de Rham, $\ell = p$ \'etale, and Betti settings.

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Dhilan Lahoti, Deven Manam. 2025-10-10. Cohomology theories in the moduli of ring stacks. https://arxiv.org/abs/2510.09582

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