DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS

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.

Bibliographic Details
Main Author: AKSHAY VENKATESH
Format: Article
Language:English
Published: Cambridge University Press 2019-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508619000064/type/journal_article