NTS ABSTRACTFall2023: Difference between revisions
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{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | {| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | ||
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | ''' | | bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jiaqi Hou''' | ||
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| bgcolor="#BCD2EE" align="center" | | | bgcolor="#BCD2EE" align="center" | Restrictions of eigenfunctions on arithmetic hyperbolic 3-manifolds | ||
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Let X be a compact arithmetic hyperbolic 3-manifold and Y a hyperbolic surface in X. Let f be a Hecke-Maass form on X, which is a joint eigenfunction of the Laplacian and Hecke operators. In this talk, I will present a power saving bound for the period of f along Y over the local bound. I will also present a work in progress on the bound for the L^2 norm of f restricted to Y. Both of the results are based on the method of arithmetic amplification developed by Iwaniec and Sarnak. | |||
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Revision as of 17:53, 30 August 2023
Back to the number theory seminar main webpage: Main page
Sept 7
| Jiaqi Hou |
| Restrictions of eigenfunctions on arithmetic hyperbolic 3-manifolds |
|
Let X be a compact arithmetic hyperbolic 3-manifold and Y a hyperbolic surface in X. Let f be a Hecke-Maass form on X, which is a joint eigenfunction of the Laplacian and Hecke operators. In this talk, I will present a power saving bound for the period of f along Y over the local bound. I will also present a work in progress on the bound for the L^2 norm of f restricted to Y. Both of the results are based on the method of arithmetic amplification developed by Iwaniec and Sarnak. |