Mathematics is a long conversation: a celebration of Barry Mazur

Collection Mathematics is a long conversation: a celebration of Barry Mazur

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Date(s) 29/04/2024

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Derived Hecke Algebra for Weight One Forms and Stark Units

By Akshay Venkatesh

Also appears in collection : Fields medallists - 2018

I will describe the derived Hecke algebra in the case of weight one forms and how, in this setting, it is conjecturally related to Stark units. I will then describe some joint work with Henri Darmon, Michael Harris, and Victor Rotger where we establish this relationship for dihedral forms.The proof involves recent ideas of E. Lecouturier about the Eisenstein ideal, and the derivative of the Riemann zeta function at -1 (in the sense of Mazur-Tate) plays an important role.

Information about the video

Date of recording 07/06/2018
Date of publication 01/02/2019
Institution IHES
Format MP4

MSC codes

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