Southeastern Lie Theory Workshop Series

该奖项将支持两个研讨会：“代数群和李超代数的表示理论”在乔治亚大学在2018年6月和“几何和范畴表示理论”在路易斯安那州立大学在2019年5月。这些研讨会是自2009年以来在美国东南部大学举办的一年一度的东南李理论系列研讨会的一部分。该系列研讨会的目的是将高级和初级研究人员以及研究生聚集在一起，以便在李理论的各个方面建立有凝聚力的研究小组，刺激和加强李理论的研究合作，并在该地区灌输强大的研究传统和以研究为导向的教育。该系列研讨会的长期目标是促进美国东南地区数学系的研究发展，以吸引更多的少数民族和代表性不足的群体参与数学科学。李代数、代数群、李超代数及其相关代数结构的表示理论已成为数学研究的一个中心领域，在数学和理论物理的许多领域都有广泛的应用。2018年在格鲁吉亚举行的第一次研讨会将重点讨论代数群和李超代数的表示理论。2019年在路易斯安那州举行的第二次研讨会将重点关注表征理论的分类和几何方法。每个研讨会将有一到两位主讲人，每位主讲人在主题领域做两到三次说明性演讲，研究生和博士后都可以参加。此外，还将邀请其他研究人员进行演讲。与会者将有充足的时间进行非正式讨论。相当多的时间将用于参与者之间以小组为单位的非正式讨论，由从参与者中选择的受邀团队负责人领导。此外，还将有专题讲座，为初级研究人员、博士后和高级研究生提供传播他们研究成果的机会。该系列研讨会的网站是：http://pi.math.virginia.edu/lieworkshops/This该奖项反映了美国国家科学基金会的法定使命，并通过基金会的知识价值和更广泛的影响审查标准进行评估，认为值得支持。

This award will support two workshops: "Representation Theory of Algebraic Groups and Lie Superalgebras" at the University of Georgia in June 2018 and "Geometric and Categorical Representation Theory" at Louisiana State University in May, 2019. These workshops are part of the annual Southeastern Lie Theory Workshop Series held at universities in the southeastern region of the U.S. since 2009. The aim of this workshop series is to bring together senior and junior researchers, as well as graduate students, in order to build cohesive research groups in various aspects of Lie theory, to stimulate and enhance research collaborations in Lie theory, and to instill a strong tradition of research and research-oriented education in the region. A long-term goal is for the workshop series to foster the research development of mathematics departments in the southeastern region of the U.S. in order to attract more minority and underrepresented groups to the mathematical sciences.Representation theory of Lie algebras, algebraic groups, Lie superalgebras, and related algebraic structures has become a central research area in mathematics, with numerous applications in many areas of mathematics and theoretical physics. The first workshop in Georgia in 2018 will focus on the representation theory of algebraic groups and Lie superalgebras. The second workshop in Louisiana in 2019 will focus on categorification and geometric approaches to representation theory. Each workshop will feature one or two main speakers, each giving two or three expository talks in the theme area, which are accessible to graduate students and postdocs. In addition, there will be invited talks by other researchers. There will be ample time for informal discussion among participants. Considerable time will be devoted to informal discussion among participants in small groups, led by invited team leaders chosen from among the participants. There will also be contributed talk sessions to provide opportunities for junior researchers, postdocs, and advanced graduate students to disseminate their research. The website for this workshop series is: http://pi.math.virginia.edu/lieworkshops/This 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.