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arXiv · 2010.04149

Steenrod operations on the de Rham cohomology of algebraic stacks

Federico Scavia
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Abstract

Building up on work of Epstein, May and Drury, we define and investigate the mod $p$ Steenrod operations on the de Rham cohomology of smooth algebraic stacks over a field of characteristic $p>0$. We then compute the action of the operations on the de Rham cohomology of classifying stacks for finite groups, connected reductive groups for which $p$ is not a torsion prime, and (special) orthogonal groups when $p=2$.

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Federico Scavia. 2020-10-08. Steenrod operations on the de Rham cohomology of algebraic stacks. https://doi.org/10.1017/s1474748021000177

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