Hyperbolic triangles with no positive Neumann eigenvalues | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Hyperbolic triangles with no positive Neumann eigenvalues

By Christopher Judge

Appears in collections : Evolution equations on singular spaces / Équations d'évolution sur les espaces singuliers, Exposés de recherche

In joint work with Luc Hillairet, we show that the Laplacian associated with the generic finite area triangle in hyperbolic plane with one vertex of angle zero has no positive Neumann eigenvalues. This is the first evidence for the Phillips-Sarnak philosophy that does not depend on a multiplicity hypothesis. The proof is based an a method that we call asymptotic separation of variables.

Information about the video

Date of recording 26/04/2016
Date of publication 12/06/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18963503
Cite this video Judge, Christopher (26/04/2016). Hyperbolic triangles with no positive Neumann eigenvalues. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18963503
URL https://dx.doi.org/10.24350/CIRM.V.18963503

Domain(s)

Bibliography

Hillairet, L. & Judge, C. (2014). Hyperbolic triangles without embedded eigenvalues. <arXiv:1402.4533> - http://arxiv.org/abs/1402.4533

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2026

Give feedback