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Georgia Discrete Analysis Conference

Georgia Discrete Analysis Conference
佐治亚州离散分析会议
批准号:
1804049
负责人:
Neil Lyall
金额:
$1.99万
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:
2018-05-01 至 2019-04-30

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中文摘要
翻译
格鲁吉亚离散分析会议将于2018年5月14日至17日在格鲁吉亚雅典的格鲁吉亚大学举行。会议的目的是就离散分析的最新发展交流意见,重点是算术组合学的发展。将特别强调研究的新方向或不断发展的方向。广义的算术组合学是一个研究组合结构的领域,它涉及加法和乘法的基本运算及其相互作用。尽管它的问题通常是纯粹的组合问题,但他们的解决方案往往融合了分析、组合学和数论的技术。这次会议将是国际层面的,有许多世界知名的演讲者。组织者计划邀请14名演讲者(其中4人将是职业生涯早期的数学家)和至少35名额外参与者。乔治亚离散分析会议将讨论的主题包括:伪随机性及其在数论和组合学中的各种表现,Gowers的一致准则,与Roth和Szmeredi‘s和Green-Tao定理有关的最新发展,和积现象和关联定理。这些主题中的许多都见证了最近的一系列活动。会议网页:research.franklin.uga.edu/additive-combinatorics/georgia-discrete-analysisThis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 Georgia Discrete Analysis Conference will be held on May 14-17, 2018, at the University of Georgia in Athens, Georgia. The purpose of the meeting is to exchange ideas related to the latest developments in discrete analysis with a focus on those in arithmetic combinatorics. Special emphasis will be placed on new or evolving directions for research. Arithmetic combinatorics, broadly defined, is an area of research that deals with combinatorial structures involving the basic operations of addition and multiplication and their interactions. Though its problems are often purely combinatorial their solutions often incorporate techniques from analysis, combinatorics, and number theory. The meeting will be at an international level, with many world renowned speakers. The organizers plan to invite 14 speakers (four of which will be early career mathematicians) and at least 35 additional participants. Topics to be cover at the Georgia Discrete Analysis Conference include: pseudorandomness and its various manifestations in number theory and combinatorics, Gowers' uniformity norms, recent developments related to Roth's and Szemeredi's and the Green-Tao theorem, the sum-product phenomena and incidence theorems. Many of these topics have witnessed a flurry of recent activity.Conference webpage: research.franklin.uga.edu/additive-combinatorics/georgia-discrete-analysisThis 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
Research at the Interface of Harmonic Analysis and Arithmetic Combinatorics: Geometric Ramsey Theory and Higher Uniformity Norms
SEAM 2015 - The 31st Southeastern Analysis Meeting
Topics in harmonic analysis and additive combinatorics
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