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Diophantine Approximation, Dynamical Systems and Related Topics

丢番图逼近、动力系统及相关课题研讨会

会议编号:  M240113

时间:  2024-01-29 ~ 2024-02-02

浏览次数:  2562

组织者:   Yitwah CHEUNG(张翼华), Jinpeng AN(安金鹏), Dmitry Kleinbock, Nikolay Moshchevitin

会议介绍

    Description

    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。

    Preliminary List of Participants

    Régis Aolo
    Faustin Adiceam
    Gaurav Aggraval
    Alon Agin
    Cristoph Aistleitner
    Dzmitry Badziahin
    Ayreena Bakhtawar
    Veronica Becher
    Andrew Best
    Changhao Chen
    Nicolas Chevallier
    Nicolas de Saxce
    Henrietta Dickinson
    Sébastien Ferenczi
    Lenny Fukshansky
    Shaobo Gan
    Oleg German
    Anish Ghosh
    Gerardo González Robert
    Lifan Guan
    Qianlin Huang
    Wen Huang
    Mumtaz Hussain
    Alexander Kalmynin
    Nikolai Kalosha
    Taehyeong Kim
    Simon Kristensen
    Fedor Kuyanov
    Bing Li
    Yiming Li
    Zeng Lian
    Lingmin Liao
    Antoine Marnat
    Erez Nesharim
    Felipe Ramirez
    Anurag Rao
    Steven Robertson
    Ronggang Shi
    Yi Shi
    Victor Shirandami
    Noy Soffer-Aranov
    Peng Sun
    Siyuan Tang
    Alexey Ustinov
    Michel Waldschmidt
    Baowei Wang
    Zhijing Wang
    Benjamin Ward
    Daren Wei
    Fei Wei
    Yuming Wei
    Barak Weiss
    Chengyang Wu
    Weisheng Wu
    Jinxin Xue
    Bohan Yang
    Pengyu Yang
    Shucheng Yu
    Han Zhang
    Runlin Zhang
    Cheng Zheng

组织者

Yitwah CHEUNG, Tsinghua University
Jinpeng AN, Peking University
Dmitry Kleinbock, Brandeis University
Nikolay Moshchevitin, Israel Institute of Technology

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