University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Upper bounds for the second nonzero eigenvalue of the Laplacian via folding and conformal volume

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Upper bounds for the second nonzero eigenvalue of the Laplacian via folding and conformal volume

Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

GSTW02 - Geometry of eigenvalues

We prove an upper bound for the volume-normalized second nonzero eigenvalue of the Laplace operator on closed Riemannian manifold, in terms of the conformal volume. This bound provides effective upper bound for a large class of manifolds, thereby generalizing many known results.   The proof uses the spherical cap folding mechanism originating in work of Nadirashvili in combination with the definition of the conformal volume of Li and Yau. This leads to very convenient admissible trial functions for the min-max characterisation of the second non-zero eigenvalue.   This is based on joint work with Mehdi Eddaoudi. 

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Hybrid: Seminar room, SPRI & Zoom - email organiser for details Type the title of a new list here Syntax Reading Group

Other talks

Title to be confirmed: ANUBIS title abstract tbc How Much Does Homology Really Know? Title to be confirmed External Seminar - Hilde Nelissen TBC Royal Papworth Hospital and Acute Medicine
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity