[Turkmath:5971] Spectrum of the Riemannian Laplacian on the round n-dimensional sphere - Differential Geometry Seminar - Feb 10, 16:00 (IST)

[Mustafa Kalafat]

Dear All,

We are sorry for the great disaster.
I hope it causes to take general decisions and better planning,
making shorter buildings and population control.

Below is the advertisement for today's talk in the Geometry seminar.

stay healthy...

m. kalafat


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Spectrum of the Riemannian Laplacian on the round n-dimensional sphere


Using the spherical harmonic functions we understand the eigenvalues
and eigenvectors of the Laplacian on the round 2-sphere also the
general n-sphere. (1) contains explicit descriptions of the
eigenvalues and eigenvectors of the standard basic manifolds including
the n-sphere. Of historical interest is the treatment in what is
arguably the first textbook on physics by Tait and Thomson. The latter
(a.k.a. Lord Kelvin) used it to estimate the age of the sun.
Inaccurately, but not due to errors in the mathematics, thermonuclear
reactions hadn’t yet been discovered.[MO]

References:

Berger, Marcel; Gauduchon, Paul; Mazet, Edmond Le spectre d'une
variété riemannienne.
     Lecture Notes in Mathematics, Vol. 194 Springer-Verlag,
Berlin-New York 1971 vii+251 pp.

Piotr Hajlasz – Functional Analysis notes.
     https://sites.pitt.edu/~hajlasz/Notatki/Functional%20Analysis2.pdf


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Time:  Friday, Feb 10, 4 pm (İstanbul time)

Seminar website: http://kalafat.droppages.com/seminars/gt23.html

Zoom link:

https://boun-edu-tr.zoom.us/j/99710229552?pwd=Ti9HRFRTdVN6QXNUd3BESUhvNlVDQT09

  Meeting ID: 997 1022 9552
  Passcode: geometri


NOT: Due to the gathering of the participants and technical
adjustments, the geometry seminar may start with 10-15min
delays. Thanks for your patience.


 |Mustafa Kalafat -------------------------------------------------
 |    Rheinische Friedrich-Wilhelms-Universität Bonn   |
 |    Office: Endenicher Allee 60, Zimmer 1.036            |
 |    Email: kalafat at math.uni-bonn.de                          |
 |    Web  : http://kalafat.droppages.com/                      |
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