Timeline for How does the cohomology of the Lubin-Tate/Drinfeld tower fit into categorical p-adic local Langlands?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 2, 2022 at 10:05 | comment | added | Peter Scholze | The word Hecke operator is overloaded: Traditionally, it refers to correspondences coming from bi-$K$-orbits in $G(\mathbb Q_p)$. The name then got used more generally for correspondences coming from bi-$K$-orbits in $G(F)$ for any "local" field $F$, and here we use it for $B_{\mathrm{dR}}^+$. I.e., we really talk about a geometric Hecke operator acting on $\mathrm{Bun}_G$. So this Hecke operator is about modifications of $G$-bundles on the Fargues-Fontaine curve. But the LT space can be written as a space of modifications $\mathcal O^n\to \mathcal O(1/n)$ on the FF curve. | |
| Nov 1, 2022 at 9:03 | comment | added | David Loeffler | Is there a simple explanation for why one should think of the cohomology of the LT space as a Hecke operator? | |
| Oct 24, 2022 at 13:33 | vote | accept | Anton Hilado | ||
| Oct 24, 2022 at 7:22 | history | answered | Peter Scholze | CC BY-SA 4.0 |