Colloquium Mathematics, Dr. C. Dobre (RuG)

 

Join us for coffee and tea at 14.45 p.m.

 

 

Date: Tuesday, September 25^th 2012

Speaker: Dr. Cristian Dobre   (University of Groningen)

Room: 5161.0267 (Bernoulliborg)

Time: 15.00

 

 

Title:Dual cones in infinite dimensional spaces.

 

Abstract:

In this talk we investigate the infinite dimensional analogue of the
primal and dual semidefinite matrix cones. Whereas in the finite case
the cone of positive semidefinite matrices is self-dual this is no
longer true in infinite dimensions. We introduce the suitable infinite
dimensional objects, formulate the pair of primal-dual semidefinite
programs and characterize the extremal rays of the dual infinite
semidefinite cone. The technique we use employs the theory of
reproducing kernels. Applying the same technique to the finite case
gives a new proof and interesting new insights on the extremal
semidefinite matrices.

 

 

 

 

 

Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and

Dr. A.V. Kiselev (e-mail: a.v.kiselev rug.nl )

 

http://www.rug.nl/wiskunde/nieuws/actueel/wiskundecolloquia