Consider the space of degree d polynomials in n variables with real coefficients that are irreducible over $\mathbb R$. In this talk, I will show how the compactly supported Euler characteristic of this space has a simple expression in terms of the digits of the binary expansion of the number of variables $n$.
The talk will start with a pre-seminar at 2pm:
Title: Point counts, Euler characteristics
Abstract: In this preliminary talk, I will explain how the compactly supported Euler characteristic may be thought of as a natural topological extension of cardinality, how that relates to point counts of a variety over finite field, and why it's useful to think of R as the field with -1 elements.