## Polynomial Chains and Stable Power Series |

**Karl Zimmermann**

October 11, 2000

12:30 - 1:30 pm

Bailey Hall 201

Refreshments in the common room at 12:15

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 monomialsx^{n}, whereand the Chebyshev polynomials. Stable power series (in particular, polynomials) are those for which n> 0and f(0) = 0f'(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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