Workshop on Algebraic Monoids, Group Embeddings and Algebraic Combinatorics

代数幺半群、群嵌入和代数组合研讨会

• 批准号: 1207770
• 负责人: Mahir Bilen Can
• 金额: $ 1.6万
• 依托单位: Tulane University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-06-01 至 2014-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1207770&HistoricalAwards=false
• 关键词: Workshop; Algebraic; Monoids; Group; Embeddings

The workshop ``Algebraic Monoids, Group Embeddings and Algebraic Combinatorics" will take place at the Fields Institute, Toronto, Ontario on July 3--6, 2012. It consists of two major components. First of all, there will be 3 minicourses on introductory topics aimed at graduate students staggered throughout the four days. These tutorials will introduce the necessary background for the remaining research talks, which form the second component of the workshop. The organizers of the workshop are Mahir Can (Tulane University), Zhenheng Li (University of South Carolina), Benjamin Steinberg (City College of New York) and Qiang Wang (Carleton University, Canada).The theory of algebraic monoids, originated independently by M. Putcha and L. Renner in 1980, is a natural synthesis of algebraic group theory (Chevalley, Borel, Tits) and torus embeddings (Mumford, Kempf, et al). It is a significant part of the theory of spherical embeddings (Brion, Luna, Vust) and horospherical varieties (Popov, Vinberg). Symmetric varieties (De Concini, Procesi) are closely related to algebraic monoids.Algebraic combinatorics studies discrete structures arising from an algebraic context. It is a broad and important discipline of mathematics with applications in quantum chemistry, statistical biology, statistical physics, theoretical computer science and so forth. In recent years there has been a tremendous progress on the combinatorial aspects of the above mentioned embedding theories, relating their underlying algebraic structures to the classical notions in algebraic combinatorics.The workshop will provide a unique opportunity to bring together some of the principal investigators from different countries, junior researchers, and graduate students. It will outline future directions of research on algebraic monoids, group embeddings, and algebraic combinatorics. This workshop will prepare graduate students for research in related areas and suggest thesis projects. More information about the workshop can be found at:http://www.fields.utoronto.ca/programs/scientific/12-13/monoids/index.htmlThis grant will provide funding for U.S. researchers to participate and benefit from this timely international workshop, which will stimulate research on the interplay between algebraic monoids, group embeddings, and algebraic combinatorics. It will help establish collaborations among the participants, including students and faculty from non-Ph.D.-granting institutions, as well as female students and professors. It will potentially help establish connections between U.S. and international academic institutions.

研讨会“代数Monoids，群嵌入和代数组合学”将于2012年7月3日至6日在安大略多伦多的菲尔兹研究所举行。它由两个主要部分组成。 首先，将有3个针对研究生的介绍性主题的迷你课程在四天中交错进行。这些教程将介绍必要的背景，其余的研究会谈，这构成了研讨会的第二部分。研讨会的组织者是Mahir Can（杜兰大学）、Zhenheng Li（南卡罗来纳州大学）、Benjamin Steinberg（纽约城市学院）和Qiang Wang（加拿大卡尔顿大学）。Putcha和L. Renner在1980年提出的，是代数群论（Chevalley，Borel，Tits）和环面嵌入（Mumford，Kempf，et al）的自然综合。它是球面嵌入理论（Brion，Luna，Vust）和horosphere变种（Popov，Vinberg）的重要组成部分。对称簇（德孔西尼，Procesi）是密切相关的代数幺半群。代数组合学研究离散结构产生的代数背景。它是一门广泛而重要的数学学科，在量子化学、统计生物学、统计物理学、理论计算机科学等方面都有应用。近年来，在上述嵌入理论的组合方面取得了巨大的进展，将其基本的代数结构与代数组合学中的经典概念联系起来。研讨会将提供一个独特的机会，汇集来自不同国家的一些主要研究人员，初级研究人员和研究生。它将概述未来的研究方向，代数幺半群，群嵌入和代数组合。这个研讨会将为研究生在相关领域的研究做好准备，并提出论文项目。有关研讨会的更多信息可以在以下网站找到：http://www.fields.utoronto.ca/programs/scientific/12-13/monoids/index.htmlThis补助金将为美国研究人员提供资金，以参与并从这个及时的国际研讨会中受益，这将促进对代数幺半群，群嵌入和代数组合学之间相互作用的研究。它将有助于在参与者之间建立合作，包括来自非博士的学生和教师。此外，还应考虑到教育机构以及女学生和女教授的需要。这将有助于建立美国和国际学术机构之间的联系。