Event Detail

Event Type: 
Number Theory Seminar
Date/Time: 
Tuesday, April 19, 2022 - 10:00 to 10:50
Location: 
STAG 262 and Zoom

Speaker Info

Local Speaker: 
Abstract: 

A polynomial map is called post-critically finite (PCF) if all of its critical orbits are finite(i.e, all critical points are preperiodic). In this talk, I will discuss a finiteness result of totally real PCF parameters of a quadratic polynomial. This is joint work (in progress) with Clay Petsche. Our technique relies upon the dynamical and potential-theoretical features of the Mandelbrot set and algebraic properties of a monic Jacobi polynomial.