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Polynomial Chains and Stable Power Series

by

Karl Zimmermann

October 11, 2000
12:30 - 1:30 pm
Bailey Hall 201

Refreshments in the common room at 12:15


Abstract:

A set of polynomials, each of positive degree, is called a chain if it contains at least one polynomial of each positive degree and any pair commutes under composition of functions. Two familiar examples are the monomials xn, where n > 0 and the Chebyshev polynomials. Stable power series (in particular, polynomials) are those for which f(0) = 0 and f'(0) is neither 0 nor a root of 1. In this talk, I will discuss stable polynomial chains and consider some related formal groups.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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