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|
|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
|Date:||09 / 25 / 2008|
|Time:||04:00pm - 05:00pm|