This conference focuses on various aspects of Diophantine Approximation Theory, Geometry of Numbers, Uniform Distribution and connections with Dynamical Systems.

Diophantine Approximation is one of the most popular areas of contemporary Number Theory. Dynamical Systems continues to be one of the most vibrant branches of modern analysis. Many famous and important problems in Diophantine Approximation, such as Littlewood conjecture, Oppenheim conjecture in quadratic forms, Margulis conjecture on closures of orbits of lattices, are related to deep properties of certain dynamical systems. Research in these areas involve many approaches and methods from different parts of Mathematics.

The aim of the conference is to bring together experts from different disciplines and mathematical communities whose research relates to various aspects of Diophantine approximation and Geometry of Numbers in order to stimulate the exchange of ideas and facilitate transference of powerful techniques across the disciplines. There are 2 core groups of researchers that we bring together, one from Number Theory (predominantly, Diophantine Approximation) and the other from Dynamical Systems (mostly, Homogeneous Dynamics). Over the past decade, these two groups have been meeting regularly, with the last major meeting being in Israel in February 2023 at the Technion. We expect many leading experts from both Dynamical Systems and Diophantine Approximation will agree to come to this year's conference.

We hope that our conference will be fruitful and that it will provide many new opportunities to continue the previous and to develop new collaborations between specialists all over the world.

本次会议以丢番图逼近和动力系统为主题，同时关注数的几何和一致分布等相关课题。丢番图逼近为现代数论中最重要的领域之一，而动力系统一直是现代分析学中的热点分支。丢番图逼近中很多著名的重要问题，如Littlewood猜想、关于二次型的Oppenheim猜想、关于轨道闭包的Margulis猜想等，与动力系统的深刻性质密切相关。对这些领域的研究涉及不同数学分支的多种视角和方法。

会议预期召集在丢番图逼近和数的几何领域具有不同数学背景的专家，以促进不同方向中思想和技巧的交流与合作。我们计划邀请数论（以丢番图逼近为主）和动力系统（以齐性动力系统为主）这两个重要领域的研究人员。在过去十年中，这两个群体一直定期召集会议，最近的重要会议由以色列理工学院于2023年二月举办。我们预计动力系统和丢番图逼近领域的众多顶尖专家将参加本次会议，从而为全世界的专家学者继续已开始的合作和开展新的合作提供机会。