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Conference on Infinitary Ramsey Theory, May 24-28, 2014

Conference on Infinitary Ramsey Theory, May 24-28, 2014
无限拉姆齐理论会议,2014 年 5 月 24-28 日
批准号:
1424270
负责人:
Natasha Dobrinen
金额:
$1.02万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2014
资助国家:
美国
项目状态:
已结题
起止时间:
2014-03-15 至 2015-02-28

项目摘要

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中文摘要
翻译
一个关于无限拉姆齐理论的会议将于2014年5月24日至28日在丹佛大学举行。在过去的三十年里,拉姆齐理论在数学中占据了突出的地位,为解决长期存在的问题提供了关键,特别是高尔斯对扭曲问题的解决。最近,Kechris, Pestov和Todorcevic的论文将Ramsey理论与拓扑动力学联系起来,导致了Ramsey理论应用于寻找最小流动的研究热潮;最近出版的《托多切维奇论拉姆齐空间》一书为拉姆齐理论的发展铺平了道路。本次会议将重点讨论Ramsey无限味理论及其在Banach空间、齐次结构、集合论和拓扑动力学等领域的应用。这次会议将促进来自四个或更多大洲的拉姆齐理论家之间的思想和结果的相互交流,他们中的许多人从未见过面。它将成为无限拉姆齐理论主题的统一点,并增加未来的合作。它还将为具有不同背景的年轻研究人员提供进入该领域的机会。因此,无限拉姆齐理论领域将得到加强,很可能加快这一领域及其应用领域的进展速度。会议的网址是https://portfolio.du.edu/ramsey
英文摘要
A Conference on Infinitary Ramsey Theory will be held at the University of Denver May 24 - 28, 2014. In the past thirty years, Ramsey theory has risen to a prominent place in mathematics, providing the key to solutions of long-standing problems, in particular, Gowers' solution to the distortion problem. Recently, the paper of Kechris, Pestov, and Todorcevic connecting Ramsey theory with topological dynamics led to the recent boom in research regarding applications of Ramsey theory applied to finding minimal flows; and the recent book of Todorcevic on Ramsey Spaces has prepared a path for a surge in progress on Ramsey theory. This conference will focus on Ramsey theory of an infinite flavor and its applications in the fields of Banach spaces, homogeneous structures, set theory, and topological dynamics. This conference will promote cross-pollination of ideas and results among Ramsey theorists from different four or more continents, many of whom have never met each other. It will serve as a unifying point for the subject of infinitary Ramsey theory and increase future collaborations. It will also provide entry to the field for young researchers with diverse backgrounds. As such, the field of infinitary Ramsey theory will be strengthened, very likely speeding up the rate of progress in this area and areas in which it is applied. The conference website is at https://portfolio.du.edu/ramsey
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Logic, Ramsey Theory, and Relational Structures
  • 批准号:
    2300896
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $30.88万
  • 财政年份:
    2023
  • 负责人:
    Natasha Dobrinen
  • 依托单位:
Logic, Ramsey Theory, and Relational Structures
  • 批准号:
    2245054
  • 项目类别:
    Standard Grant
  • 资助金额:
    $15.85万
  • 财政年份:
    2022
  • 负责人:
    Natasha Dobrinen
  • 依托单位:
Logic, Ramsey Theory, and Relational Structures
  • 批准号:
    1901753
  • 项目类别:
    Standard Grant
  • 资助金额:
    $15.85万
  • 财政年份:
    2019
  • 负责人:
    Natasha Dobrinen
  • 依托单位:
Ramsey Theory, Set Theory, and Tukey Order
  • 批准号:
    1600781
  • 项目类别:
    Standard Grant
  • 资助金额:
    $13.0万
  • 财政年份:
    2016
  • 负责人:
    Natasha Dobrinen
  • 依托单位:
海外基金