PASI: Commutative Algebra and its Connections to Geometry; Olinda, Brazil, Summer 2009

PASI：交换代数及其与几何的联系；

基本信息

批准号：
0819049
负责人：
Bernd Ulrich
金额：
$ 10万
依托单位：
Purdue University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2009
资助国家：
美国
起止时间：
2009-01-01 至 2009-12-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=0819049&HistoricalAwards=false
关键词：
PASI Commutative Algebra its Connections

项目摘要

This Pan-American Advanced Studies Institutes (PASI) award, jointly supported by the NSF and the Department of Energy (DOE), will take place during the summer of 2009 at the Universidade Federal de Pernambuco in Olinda, Brazil. Organized by Bernd Ulrich of Purdue University, the PASI will address recent developments in commutative algebra and their connections to geometry. The activities will focus on the following clusters of topics central to modern commutative algebra: the homological conjectures, problems in positive and mixed characteristic, tight closure and its interaction with birational geometry, integral dependence and blowup algebras, combinatorial commutative algebra, Gröbner bases, and computational algebra, among others.The activity will promote collaborative interactions among algebraists and geometers mostly of the Western Hemisphere. The program will bring together an ideal mix of participants from graduate students to post-docs to junior and senior faculty. Expected outcomes in this PASI will include: the opportunity to forge strong and lasting ties among researchers at different stages of their careers and with diverse mathematical tastes and backgrounds. Recruitment will be done through a web-site developed for the PASI, newsletters of professional societies, and e-mail lists. Results from the PASI will be disseminated through the PASI website and a volume of proceedings of the school as a reference on which to build future activities.

这项由NSF和能源部（DOE）共同支持的泛美高级研究机构（PASI）奖将于2009年夏季在巴西奥林达的联邦De Pernambuco上举行。 PASI由普渡大学的伯恩德·乌尔里希（Bernd Ulrich）组织，将解决交换代数的最新发展及其与几何形状的联系。这些活动将集中于以下主题集中的群集，核心是现代通勤代数的中心：同源猜想，积极和混合特征的问题，紧密闭合以及与生物几何形状，积分依赖性和代数的相互作用，组合通勤代数，Gröbner基础和计算性的活动都将促进依据。西半球。该计划将汇集从研究生到毕业后再到初级和高级教师的理想组合。此PASI的预期结果将包括：在研究人员职业的不同阶段以及具有多种数学品味和背景的研究人员之间建立牢固和持久联系的机会。招聘将通过为PASI，专业社会新闻通讯和电子邮件列表开发的网站进行。 PASI的结果将通过PASI网站和学校的大量程序传播，以参考建立未来活动。