Timeline for Automorphy of mixed Tate motives over $\mathbb{Z}$
Current License: CC BY-SA 4.0
3 events
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| Dec 4, 2020 at 7:46 | comment | added | David Loeffler | So this prompts the question: let $A$ be a modular elliptic curve, let $P$ be a Heegner point on $A$, and let $E$ be the extension $0 \to V_p A \to E \to \mathbf{Q}_p \to 0$ that is the image of $P$ under the Kummer map. I think $E$ ought to count as a mixed automorphic motive, because it comes from the cycle class of a morphism of Shimura varieties. Can one see $E$ using eigenvarieties (ideally without having to prove Skinner--Urban in the process)? | |
| Dec 4, 2020 at 7:42 | comment | added | David Loeffler | I guess this answer is a mirror-image of mine, in some sense -- I was thinking of the kind of global cohomology classes that form Euler systems, while you were thinking of the kind that come from Eisenstein congruences. | |
| Dec 3, 2020 at 15:55 | history | answered | Joël | CC BY-SA 4.0 |