**Speaker**: Paul Monsky

**Title**: Polynomials, power series and p-fractals

**Abstract**: In this talk I'll introduce some apparently simple questions
about polynomials and power series for which no answer is known. However,
when the coefficients of the polynomials or power series are in a
finite field, the questions lead
to mysterious real-valued functions, and there is computer evidence that
these functions have self-similarity properties that completely characterize
them. In
some cases this can actually be proven. Much of this is joint work
with Teixeira.