PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:Extremality, symmetry, and Chebyshev-like polynomials
Seminar:Department of Mathematics Colloquium
Speaker:Kenneth Stolarsky, University of Illinois
Abstract:
If polynomials are extremal in some important way, must they have nice algebraic properties? If n points are arranged on a sphere to minimize a "reasonable" potential, must they be arranged symmetrically? The first problem leads us into results, some recent, concerning Chebyshev-like polynomials and their discriminants. The second provides additional motivation. Our survey will also touch upon various generalizations and analogues of the Chebyshev polynomials, and connections to number theory. We shall include descriptions of some open problems.

Room Reservation Information

Room Number:MB114
Date:09 / 25 / 2008
Time:04:00pm - 05:00pm