Event Detail

Event Type: 
Number Theory Seminar
Date/Time: 
Tuesday, May 3, 2022 - 10:00 to 10:50
Location: 
Zoom only, contact Clayton Petsche for details

Speaker Info

Institution: 
Brown University
Abstract: 

Misiurewicz polynomials, originally defined in complex dynamics, classify post-critically finite maps among the family of unicritical polynomial maps. In this talk, we discuss similar Misiurewicz-type polynomials defined for the family of rational maps with nontrivial automorphisms, especially their irreducibility and irreducible factors over Q. We mainly use the theory of Newton polygons to prove our results.