US-Mexico conference in representation theory and noncommutative algebra

美国-墨西哥表示论和非交换代数会议

• 批准号: 1446398
• 负责人: Aaron Lauda
• 金额: $ 4.99万
• 依托单位: University of Southern California
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-12-15 至 2016-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1446398&HistoricalAwards=false
• 关键词: US; Mexico; conference; representation; theory

This grant will fund participation of U.S.-based researchers in the US-Mexico Conferences on Representation Theory, Categorification, and Non-Commutative Algebra that will take place at Universidad Nacional Autonoma de Mexico in Mexico City, January 15-18, 2015 and the University of Southern California, Los Angeles, January 14-17, 2016. Representation theory is a major branch of mathematics that studies symmetries of of physical theories and of mathematical objects. Often the main objects in representation theory are only the shadow of richer structures that are recovered through deeper study. Non-commutative algebra is another major, related branch of algebra that studies deformations of commutative objects found in quantum theories, representation theory, and geometry. The foci of the conferences will be on recent advances at the interface of representation theory and non-commutative algebra; on fostering an environment for the establishment of international collaborations between the US and Mexico in this research areas; and on exposing graduate students, post-docs, and young faculty in both countries to current developments in the field. The conference series has an international component and is co-funded by the International Science and Engineering Section.The PIs will organize one four-day conference each academic year that will alternate between the US and Mexico. The main scientific topics of the conference series will be algebraic, geometric and homological methods in representation theory, categorification, and non-commutative algebra. The talks will cover some of the most recent trends including: cluster algebras, quantum groups, monoidal and additive categorifications, Calabi-Yau algebras and categories, and non-commutative projective algebraic geometry.

这项赠款将资助总部位于美国的研究人员参加代表理论，分类和非交通代数的美国 - 墨西哥会议，该代数将在墨西哥墨西哥大学的墨西哥大学，2015年1月15日至18日，2015年1月15日至18日，南加州大学，洛杉矶，1月14日至17日。数学对象。通常，表示理论中的主要对象只是通过更深入研究恢复的富裕结构的阴影。非共同代数是代数的另一个主要相关分支，该分支研究了在量子理论，表示理论和几何形状中发现的交换对象的变形。会议的焦点将取决于表示理论和非共同代数的界面的最新进展。关于在该研究领域建立美国与墨西哥之间国际合作的环境；并在两国将研究生，毕业后和年轻教职员工暴露在该领域的当前发展中。会议系列有一个国际组成部分，并由国际科学和工程部门共同资助。PIS将在每个学年组织一个为期四天的会议，该会议将在美国和墨西哥之间交替。会议系列的主要科学主题将是代数，几何和同源方法，代表理论，分类和非交通代数。谈判将涵盖一些最近的趋势，包括：集群代数，量子组，单体和添加剂分类，Calabi-yau代数和类别，以及非交通性的投影代数几何形状。