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STEENROD OPERATIONS ON THE DE RHAM COHOMOLOGY OF ALGEBRAIC STACKS

Published online by Cambridge University Press:  04 May 2021

Federico Scavia
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2 Canada (scavia@math.ubc.ca)
Corresponding
E-mail address:

Abstract

Building upon 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 $p=2$.

Type
Research Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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