Timeline for What is the relationship between the sheaf-function dictionary and cohomology of moduli spaces of shtukas?
Current License: CC BY-SA 4.0
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| May 7, 2020 at 2:18 | comment | added | dorebell | I think the problem of constructing perverse sheaves on the stack of G-bundles or shtukas which recover a given eigenform is a hard problem, core to the difficulties in the geometric Langlands program. In V. Lafforgue's proof of the Langlands conjectures for function fields, he sidesteps this issue by noting that $H^0_c(\mathrm{Sht}_0, \overline{\mathbf{F_q}}, \mathbf{Q}_\ell)$ may be identified with the set of all cuspidal automorphic forms, where $\mathrm{Sht}_0$ is the stack of shtukas with no legs. Then you can build the Galois reps by looking at cohomology of IC ("constant") sheaves. | |
| Aug 19, 2019 at 21:23 | answer | added | USD | timeline score: 4 | |
| Aug 19, 2019 at 20:54 | history | asked | xir | CC BY-SA 4.0 |