## FORMAL GROUPS AND COMMUTING POLYNOMIALS |

**Professor Emeritus Karl Zimmermann**

March 9, 2016

4:30 pm

Bailey 207

Refreshments in the common room at 4:15

It has been nearly 100 years since Ritt and Julia (independently) classified all polynomials with complex coefficients that commute under composition. To explain my interest in these polynomials, we will begin with an introduction to formal groups and their endomorphisms. We then focus on the number of polynomials of degree k with which a given polynomial of degree n commutes. If time permits, we will use commuting polynomials to give a proof of Fermat’s Little Theorem.

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

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