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GAGTA 2018: Geometric and Asymptotic Group Theory with Applications

GAGTA 2018: Geometric and Asymptotic Group Theory with Applications
GAGTA 2018:几何和渐近群理论及其应用
批准号:
1818917
负责人:
Thomas Koberda
金额:
$2.2万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2018
资助国家:
美国
项目状态:
已结题
起止时间:
2018-06-01 至 2019-05-31

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中文摘要
翻译
由政府资助的“GAGTA 2018:几何与渐近群论及其应用”会议将于7月16日至20日在韩国首尔的韩国高等研究院举行。这次会议将汇集来自世界各地的顶尖研究人员以及早期职业数学家和研究生。这次会议的主要目的是讨论代数、几何、工业数学和应用数学领域的最新发展。国际场地和多样化的演讲者和参与者将促进许多合作关系的形成,为早期职业数学家提供充足的指导和职业发展机会,并促进国际合作。会议的广泛范围将鼓励跨学科的研究发展。包含应用部分具有深远的实际应用,远远超出了理论数学。获得的NSF资金将用于支付美国参与者的旅行费用。组织者将优先考虑研究生和职业生涯早期的数学家,以及来自代表性不足群体的参与者。辫子群体位于群论、代数几何和应用数学之间联系的深层网络的中心。该网络涉及的子领域包括CAT(0)几何、几何群论、映射类群论、低维动力系统、纽结理论、奇点理论、复几何、工业混合理论和密码学。近年来,在所有这些领域都有了许多令人振奋的发展,尽管许多问题仍然存在,而且开辟了过多的新研究途径。这个由资金资助的会议将汇集各种各样的研究人员,从知名的领导者到早期的职业数学家和研究生。会议的目的是展示和培训辫子群理论的多个方面的研究人员,并建立新的富有成效的合作关系,以促进和发展辫子理论和应用。会议网站:http://gagta.cayley.krThis奖反映了美国国家科学基金会的法定使命,并通过使用基金会的智力优势和更广泛的影响审查标准进行评估,被认为值得支持。
英文摘要
The funded conference "GAGTA 2018: Geometric and Asymptotic Group Theory with Applications" will take place July 16-20 at Korea Institute for Advanced Study in Seoul, Korea. The conference will bring together leading researchers as well as early career mathematicians and graduate students from all over the world. The primary goal of the conference is to discuss recent developments at the interface of algebra, geometry, and industrial and applied mathematics. The international venue and diverse array of speakers and participants will facilitate the formation of many collaborative relationships, provide ample opportunity for mentorship and career development for early career mathematicians, and foster international cooperation. The broad scope of the conference will encourage interdisciplinary research developments. The inclusion of an applied portion has far-reaching practical applications far beyond theoretical mathematics. The NSF funds awarded will serve to defray the travel costs of US participants. The organizers will give priority to graduate students and early career mathematicians, as well as participants from underrepresented groups.Braid groups sit at the center of a deep web of connections between group theory, algebraic geometry, and applied mathematics. The subfields involved in this web include CAT(0) geometry, geometric group theory, mapping class group theory, low dimensional dynamical systems, knot theory, singularity theory, complex geometry, industrial mixing theory, and cryptography. In recent years, there have been many exciting developments in all of these fields, though many questions persist and a plethora of new avenues of research has been opened. The funded conference will bring together a large variety of researchers, from established leaders to early career mathematicians and graduate students. The purpose of the conference is to expose and train researchers in the many facets of the theory of braid groups, and to forge new and productive collaborative relationships which will promote and develop the theory and applications of braids. All the fields described above will be represented among the research talks.Conference website: http://gagta.cayley.krThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
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会议论文
Group Actions on Manifolds and Related Spaces: Regularity, Structure, and Complexity
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