Thursday 24 Jan 2019: NT Seminar: A Galois counting problem
Sam Chow - University of Oxford
We count monic quartic polynomials with prescribed Galois group, by box height. Among other things, we obtain the order of magnitude for D4 quartics, and show that non-S4 quartics are dominated by reducibles. The tools come from the theory of diophantine equations. This is joint work with Rainer Dietmann.