Timeline for Artin reciprocity via Shimura varieties
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 1, 2020 at 15:18 | vote | accept | curious math guy | ||
| Aug 30, 2020 at 8:12 | comment | added | David Loeffler | "Harris and Taylor proved local Langlands [for $GL_n$] with Shimura varieties" is in the same category of statements as "Michaelangelo painted the Sistine Chapel with a paintbrush". Yes, Shimura varieties for unitary groups were involved; but it's very far from that to imply that once you know the standard properties of Shimura varieties, the local Langlands conjecture is somehow obvious. | |
| Aug 29, 2020 at 17:32 | comment | added | curious math guy | Thank you for the nice answer. Does the situation change if we want to study $G_{\mathbb{Q}_p}^{ab}$? Harris and Taylor proved local Langlands with Shimura varieties, so is there hope for $\text{GL}_1$ in the local case? | |
| Aug 29, 2020 at 17:29 | history | edited | David Loeffler | CC BY-SA 4.0 |
added 13 characters in body
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| Aug 29, 2020 at 17:23 | history | answered | David Loeffler | CC BY-SA 4.0 |