STNB2019 (33rd edition)
The derived Hecke algebra and the main conjecture of Venkatesh.
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Abstract
Keeping the setting of Bianchi modular forms as our main example, we will introduce the derived Hecke algebra (which is a graded algebra acting on the cohomology of the relevant arithmetic manifold, whose degree 0 part corresponds to the 'usual' Hecke algebra) and will formulate the main conjecture of Venkatesh.
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