Seminar
MATHEMATICAL FOUNDATIONS OF INFORMATICS

The next meeting of the seminar will be held on April 12, 2019, at 2.00 p.m. in Room 503 of IMI-BAS.

A talk  on:

Quadrature Domains and Equilibrium on the Spherе

will be delivered by Peter Dragnev, Purdue University Fort Wayn.

Abstract. Consider the unit sphere as a conductor, and place a unit charge on it which is free to redistribute into the configuration of lowest possible logarithmic energy. Then place finitely many point charges onto the sphere to constitute an external field. In the presence of this external field, what is the support of the new equilibrium configuration of the initial unit charge? We’ll show that the answer involves planar quadrature domains.

Everybody is invited.