Event Type:

Number Theory Seminar

Date/Time:

Tuesday, April 30, 2019 - 16:00 to 16:45

Location:

Weniger 201

Guest Speaker:

Institution:

Reed College

Abstract:

Given a polynomial map $f:\mathbb{Q}\rightarrow\mathbb{Q}$, one can naturally associate to $f$ a sequence of Galois groups $G_{n,f}$ which encodes information about the dynamical properties of $f$. A precise understanding of how the structure of these groups changes as $f$ varies (for instance, among all maps of a fixed degree) would yield important results in arithmetic dynamics. In this talk we will discuss the family of groups $G_{n,f}$ in the case where $f$ has degree 2.

Host: