Graduate Student Seminar
Galois Groups of Iterated Quadratic Rational Maps whose Critical Orbits Collide
George Grell, University of Rochester
Thursday, April 27th, 2017
5:00 PM - 6:00 PM
Hylan 1106A
5:00 PM - 6:00 PM
Hylan 1106A
I use the theory of ramification groups to give a simple representation of the Galois groups of iterated quadratic rational maps. In certain cases I am able to use this to give an expression for the fixed point proportion of the standard group action on a binary rooted tree. The arguments required are relatively elementary and require some basic knowledge of combinatorics, Galois theory, and algebraic number theory.
Event contact: uyigit at ur dot rochester dot edu
Add to Google Calendar