Timeline for Quantum ergodicity of Eisenstein series on arithmetic quotients of hyperbolic space
Current License: CC BY-SA 4.0
3 events
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| Mar 30, 2020 at 13:39 | comment | added | Peter Humphries | Concerning the higher rank groups $\mathrm{SL}_n(\mathbb{Z})\backslash \mathrm{SL}_n(\mathbb{R}) / \mathrm{SO}(n)$, QUE is only known for certain degenerate Eisenstein series because these are the only class of automorphic forms on these higher groups for which an analogue of the Watson-Ichino formula holds. | |
| Mar 30, 2020 at 13:23 | comment | added | Claudius | Thank you for your fast reply and the references! Since I've read Zhang's paper I am curious whether there is a paper fully proving QE for SL3(Z)∖SL3(R)/SO(3,R) as there are explicit formulae available for coefficients of the Eisenstein series and the Hecke theory has already been worked out. Concerning Truelsen's paper I had the feeling that he is more or less dealing with n copies of PSL2(Z)∖H2 rather than an arithmetic quotient of a higher-dimensional hyperbolic space.But my understanding of his paper is limited. | |
| Mar 30, 2020 at 11:25 | history | answered | Windom Earle | CC BY-SA 4.0 |