Ruprecht-Karls-Universität Heidelberg
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„Main conjectures and p-adic Stark conjectures for Artin motives“
Dr. Alexandre Maksoud, Université du Luxembourg

Let p be a prime number. We introduce the Greenberg-style Selmer group attached to an Artin motive that has good reduction at p and we show it is torsion over the Iwasawa algebra. We give a conjectural description of a generator of its characteristic ideal in terms of special values of Artin L-functions and a new L-invariant. We also discuss some evidence in favour of our conjectures in the case where the representation comes from (the adjoint of) a classical weight one modular form.

Freitag, den 10. Juni 2022 um 13:30 Uhr, in INF 205, SR A Freitag, den 10. Juni 2022 at 13:30, in INF 205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Otmar Venjakob