Department of Mathematics

Indian Institute of Science

Bangalore 560 012

 

SEMINAR

 

Speaker

:

Kalyan B Sinha
Affiliation : JNCSAR, Bangalore and IMI Distinguished Associate

Subject Area

:

Mathematics

 

Venue

:

Department of Mathematics, Lecture Hall I

 

Time

:

02:15 - 03:15 PM

 

Date  

:

January 29, 2016 (Friday)

Title

:

"Eigenvalues, Eigenvectors, Eigenfunctions,  Everywhere!"
Abstract

:

Eigenvalues and eigenvectors appear in many physical and engineering problems , beginning with the noted study by Euler in 1751 of the kinematics of rigid bodies . From a mathematical point of view, for an operator of a suitable class, acting in a vector space, its point spectrum and associated subspaces refer to its "eigenvalues and eigenvectors", while the subspaces associated with the continuous spectrum of the operator is said to consist of "eigenfunctions". The basic ideas will be discussed mostly thru examples, in some of which a natural connection with the representation of appropriate groups lurk behind.