# Algebra/Number Theory Seminar

## Integral points in orbits in characteristic p

Thomas Tucker, U Rochester

Thursday, November 18th, 2021
2:00 PM - 3:00 PM
zoom id 566 385 6457 (no password)

We prove a characteristic $$p$$ version of a theorem of Silverman on integral points in orbits over number fields and establish a primitive prime divisor theorem for polynomials in this setting. In characteristic $$p$$, the Thue-Siegel-Dyson-Roth theorem is false, so the proof requires different techniques than those used by Silverman. This represent joint work with Alex Carney and Wade Hindes.

Event contact: dinesh dot thakur at rochester dot edu