Timeline for Reference for isomorphism between parabolic and cuspidal cohomology of the Siegel variety
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Apr 26, 2023 at 15:44 | history | edited | Marsault Chabat | CC BY-SA 4.0 |
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| Apr 26, 2023 at 15:43 | answer | added | Marsault Chabat | timeline score: 2 | |
| Apr 25, 2023 at 18:45 | comment | added | Marsault Chabat | No problem. I will write an answer tomorrow. | |
| Apr 25, 2023 at 18:36 | comment | added | random123 | @MarsaultChabat Thanks for your answer and reference. I had some argument but was trying to figure out the calculations which are related to the difference between residual and cuspidal spectrum. I was unable to figure it out. Maybe you can consider writing an answer with some more details. I would surely benefit from it. Thanks again! | |
| Apr 25, 2023 at 14:13 | comment | added | Marsault Chabat | But actually, since yesterday (after @random123's comment) I tried to find it on my own and found it in a paper I've known for a long time now... Which makes me ashamed, but to my credit it is hidden inside two pages of calculation of cohomology spaces. You can find it on page 5-6 (293-294) of Taylor's "On the l-adic cohomology of Siegel threefold". | |
| Apr 25, 2023 at 14:07 | comment | added | Marsault Chabat | I am trying to answer correctly: Parabolic is the image of $H_{c}(Y(U))\rightarrow H(Y(U))$ and Cuspidal is the $\frak{g},K$- cohomology of the space of cuspidal forms (which can be defined using the cohomology of the completion of $Y(U)$). | |
| Apr 24, 2023 at 17:30 | comment | added | Dan Petersen | What are your definitions of parabolic and cuspidal cohomology? | |
| Apr 24, 2023 at 16:43 | history | edited | Marsault Chabat | CC BY-SA 4.0 |
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| Apr 24, 2023 at 16:42 | comment | added | Marsault Chabat | oohh no only for degree 3, I'm going to edit thank you. | |
| Apr 23, 2023 at 10:50 | comment | added | random123 | Do you want such a result in all degrees of the cohomology? | |
| Apr 3, 2023 at 8:57 | history | asked | Marsault Chabat | CC BY-SA 4.0 |