STNB2019 (33è any)

The derived Hecke algebra and the main conjecture of Venkatesh.

Ponents

Carlos de Vera Piquero

Resum

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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