Duke Mathematical Journal
- Duke Math. J.
- Volume 167, Number 8 (2018), 1573-1621.
Hodge theory of classifying stacks
We compute the Hodge and the de Rham cohomology of the classifying space (defined as étale cohomology on the algebraic stack ) for reductive groups over many fields, including fields of small characteristic. These calculations have a direct relation with representation theory, yielding new results there. The calculations are closely analogous to, but not always the same as, the cohomology of classifying spaces in topology.
Duke Math. J., Volume 167, Number 8 (2018), 1573-1621.
Received: 29 January 2017
Revised: 9 January 2018
First available in Project Euclid: 22 March 2018
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Totaro, Burt. Hodge theory of classifying stacks. Duke Math. J. 167 (2018), no. 8, 1573--1621. doi:10.1215/00127094-2018-0003. https://projecteuclid.org/euclid.dmj/1521684060