Forum of Mathematics, Pi (Jan 2019)

DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS

  • AKSHAY VENKATESH

DOI
https://doi.org/10.1017/fmp.2019.6
Journal volume & issue
Vol. 7

Abstract

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We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$. Under favorable conditions, the cohomology is freely generated in a single degree over this graded Hecke algebra.

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