Recurrence, transcendence, and Diophantine approximation

14 - 18 July 2025

Venue: Lorentz Center@omega

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This workshop brings together researchers from different backgrounds who work broadly on Diophantine problems to make new connections across their respective fields. The problem of finding integer solutions to polynomial equations (Diophantine equations) sits centrally amongst many interconnected subfields, ranging from metric Diophantine approximation and transcendence theory to dynamical systems, recurrence sequences, and even theoretical computer science, particularly regarding software verification.

We intend to give the participants an opportunity to actively pursue connections between the newest developments in these respective fields, together with the leading researchers in each of these subjects.

We gratefully acknowledge support from the Yerli Foundation and the Mathematical Institute at Leiden University.

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