International Conference on Representation Theory and Commutative Algebra
表示论与交换代数国际会议
基本信息
- 批准号:1538700
- 负责人:
- 金额:$ 3万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2015
- 资助国家:美国
- 起止时间:2015-05-01 至 2017-04-30
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
The International Conference on Representation Theory and Commutative Algebra, to be held April 24-27 at the University of Connecticut, will bring researchers of all levels together to further explore the connections between the fields mentioned in the title. Broadly speaking, representation theory attempts to realize abstract algebraic objects in concrete terms, usually via collections of matrices or other well-understood constructs. The philosophy is that to better explore the behavior of a group (arising as symmetries of objects) or an algebra (arising as functions between objects) or any other pertinent algebraic structure, one can start by characterizing all manners in which such a structure can act upon a set. Writing down such a characterization can be a tremendously difficult problem, but there are fields of mathematics that can lead to deeper understanding of these actions, including commutative algebra. This conference will examine the data that can be gleaned about representation theory from this point of view. The conference will seek to disseminate recent results while inviting the next generation of junior researchers to take part in new developments. Experts will share theoretical progress and lend perspective to the questions, and early career participants will discuss their contributions through poster presentations. For more details see http://condor.depaul.edu/acarro15/ICRTCA.html Algebro-geometric techniques have been applied to problems in representation theory since the early seventies. The geometric point of view was put to use by Kac in locating indecomposable representations of quivers, by Jerzy Weyman in constructing free resolutions of defining ideals of module varieties, by Jerzy Weyman and Harm Derksen in proving the saturation property for Littlewood-Richardson coefficients, and by Alastair King in constructing moduli spaces of representations. The aim of this conference is to address several specific questions and a number of problems that have evolved from these geometric approaches.
表示论和交换代数国际会议将于 4 月 24 日至 27 日在康涅狄格大学举行,将把各个级别的研究人员聚集在一起,进一步探索标题中提到的领域之间的联系。从广义上讲,表示论试图通过具体的术语来实现抽象的代数对象,通常是通过矩阵的集合或其他易于理解的结构。其理念是,为了更好地探索群(作为对象的对称性而产生)或代数(作为对象之间的函数而产生)或任何其他相关代数结构的行为,我们可以首先描述这种结构作用于集合的所有方式。 写下这样的表征可能是一个非常困难的问题,但是数学领域可以帮助人们更深入地理解这些行为,包括交换代数。 本次会议将从这个角度研究可以收集到的有关表示论的数据。会议将寻求传播最新成果,同时邀请下一代初级研究人员参与新的发展。 专家将分享理论进展并提出问题的观点,早期职业参与者将通过海报展示讨论他们的贡献。有关更多详细信息,请参阅 http://condor.depaul.edu/acarro15/ICRTCA.html 自七十年代初以来,代数几何技术已应用于表示论中的问题。 Kac 使用几何观点来定位箭袋的不可分解表示,Jerzy Weyman 使用几何观点构建定义模簇理想的自由分辨率,Jerzy Weyman 和 Harm Derksen 使用几何观点证明 Littlewood-Richardson 系数的饱和性,Alastair King 使用几何观点构建表示的模空间。本次会议的目的是解决几个具体问题以及从这些几何方法演变而来的一些问题。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Andrew Carroll其他文献
Applying multimodal AI to physiological waveforms improves genetic prediction of cardiovascular traits
- DOI:
10.1016/j.ajhg.2025.05.015 - 发表时间:
2025-07-03 - 期刊:
- 影响因子:8.100
- 作者:
Yuchen Zhou;Justin Khasentino;Taedong Yun;Mahantesh I. Biradar;Jacqueline Shreibati;Dongbing Lai;Tae-Hwi Schwantes-An;Robert Luben;Zachary R. McCaw;Jorgen Engmann;Rui Providencia;Amand Floriaan Schmidt;Patricia B. Munroe;Howard Yang;Andrew Carroll;Anthony P. Khawaja;Cory Y. McLean;Babak Behsaz;Farhad Hormozdiari - 通讯作者:
Farhad Hormozdiari
A hybrid computational strategy to address WGS variant analysis in >5000 samples
用于解决超过 5000 个样本的 WGS 变异分析的混合计算策略
- DOI:
- 发表时间:
2016 - 期刊:
- 影响因子:3
- 作者:
Zhuoyi Huang;Navin Rustagi;N. Veeraraghavan;Andrew Carroll;R. Gibbs;E. Boerwinkle;Manjunath Gorentla Venkata;F. Yu - 通讯作者:
F. Yu
Accurate human genome analysis with Element Avidity sequencing
使用 Element Avidity 测序进行准确的人类基因组分析
- DOI:
10.1101/2023.08.11.553043 - 发表时间:
2023 - 期刊:
- 影响因子:0
- 作者:
Andrew Carroll;Alexey Kolesnikov;Daniel E. Cook;Lucas Brambrink;Kelly N. Wiseman;Sophie M. Billings;S. Kruglyak;B. Lajoie;June Zhao;Shawn E. Levy;C. McLean;Kishwar Shafin;Maria Nattestad;Pi - 通讯作者:
Pi
Small variant benchmark from a complete assembly of X and Y chromosomes
来自 X 和 Y 染色体完整组装的小变异基准
- DOI:
10.1038/s41467-024-55710-z - 发表时间:
2025-01-08 - 期刊:
- 影响因子:15.700
- 作者:
Justin Wagner;Nathan D. Olson;Jennifer McDaniel;Lindsay Harris;Brendan J. Pinto;David Jáspez;Adrián Muñoz-Barrera;Luis A. Rubio-Rodríguez;José M. Lorenzo-Salazar;Carlos Flores;Sayed Mohammad Ebrahim Sahraeian;Giuseppe Narzisi;Marta Byrska-Bishop;Uday S. Evani;Chunlin Xiao;Juniper A. Lake;Peter Fontana;Craig Greenberg;Donald Freed;Mohammed Faizal Eeman Mootor;Paul C. Boutros;Lisa Murray;Kishwar Shafin;Andrew Carroll;Fritz J. Sedlazeck;Melissa Wilson;Justin M. Zook - 通讯作者:
Justin M. Zook
CELLULAR EXPRESSION OF WISKOTT-ALDRICH ALLELE
Wiskott-Aldrich 等位基因的细胞表达
- DOI:
- 发表时间:
1980 - 期刊:
- 影响因子:0
- 作者:
Andrew Carroll;J. Prchal;W. Crist;J. Prchal - 通讯作者:
J. Prchal
Andrew Carroll的其他文献
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