Recent progress on Polynomial-Exponential Diophantine equations

Abstract: I will survey work on explicit solution of certain Diophantine equations that arise in various contexts, including determination of values of Fourier coefficients of modular forms, and gaps between perfect powers. These results rely upon the combination of bounds for linear forms in logarithms, p-adic and otherwise, with machinery for ternary Diophantine equations based upon the modularity of Galois representations attached to Frey-Hellegouarch curves. This is joint work with Samir Siksek, Adela Gherga, Vandita Patel and Philippe Michaud-Jacobs.

number theory

Audience: researchers in the topic

CRM-CICMA Québec Vermont Seminar Series

Series comments: En ligne/Web - Pour information, veuillez communiquer à / For details, please contact: activités@crm.umontreal.ca