Generic Polynomials

Authors

Professor Zinovy Reichstein, Oregon State University

Document Type

Presentation Abstract

Presentation Date

9-4-1997

Abstract

The talk will focus on the classical question of finding a "canonical form" for degree n polynomials in one variable. For example, the quadratic polynomial x² + ax + b can be transformed into one of the form x² + c by completing the square. The latter can be viewed as a canonical form which depends on only one parameter (namely, c) rather than the two we started out with (namely, a and b). In general, we will show that any canonical form for degree n polynomials depends on at least [n/2] parameters. This result (obtained in collaboration with J. Buhler) generalizes a theorem of Felix Klein on quintic polynomials and is related to Hilbert's 13-th problem.

Additional Details

Thursday, September 4, 1997
4:10 p.m. in MA 109
Coffee/Tea/Treats 3:30 p.m. in MA 104 (Lounge)

Recommended Citation

Reichstein, Professor Zinovy, "Generic Polynomials" (1997). Colloquia of the Department of Mathematical Sciences. 1.
https://scholarworks.umt.edu/mathcolloquia/1