US Participation in Conference "Representation Theory 2013"

该项目的目的是为美国参与者提供旅行支持，以参加2013年6月21日至27日期间在克罗地亚杜布罗夫尼克大学间会议中心举行的国际会议“表征理论2013”（http：www.iuc.hr）。 会议将涵盖各种主题的表示理论，包括卡茨-穆迪李代数，顶点代数和相关结构，并表示真实的和p-adic李群。 会议的主要目标是聚集专家和研究人员，介绍这一动态领域的最新发展。 最近的一些突破包括W-代数的新构造，顶点代数的对数张量积理论，仿射型顶点代数的组合基的构造，Macdonald多项式理论的新结果，以及计算真实的李群的酉对偶的算法。表示论是现代数学的一个重要领域，在数学和物理领域都有着广泛的应用。拟议的会议的更广泛影响有两个方面：培训年轻科学家和传播新成果和技术。 在这次会议上，我们将采取进一步措施，改善研究社区内部和之间的沟通。我们的目标是鼓励美国研究人员寻求与欧洲同事建立更紧密的联系。一些研究生和初级教师将得到这个奖项的支持，其中一些人将在会议上发表演讲。

The purpose of this project is to provide travel support for US participants to attend the international conference 'Representation Theory 2013' at the Inter-University Conference Center in Dubrovnik, Croatia during the period of June 21-27, 2013 (http://www.iuc.hr). The conference will cover a variety of topics in representation theory including Kac-Moody Lie algebras, vertex algebras and related structures, and representations of real and p-adic Lie groups. The main goal of the conference is to gather experts and researchers to present the most recent developments in this dynamic field. Some recent breakthroughs include new constructions of W-algebras, logarithmic tensor product theory for vertex algebras, construction of combinatorial bases for affine-type vertex algebras, new results in the theory of Macdonald polynomials, and an algorithm for computing the unitary dual of real Lie groups.Representation theory is an important area of modern mathematics with many profound applications in both the mathematics and physics communities. The broader impacts of the proposed conference are twofold: training of younger scientists and dissemination of new results and techniques. At this meeting we will take further steps to improve communication within and across research communities. We aim to encourage US researchers to seek stronger links with their colleagues from Europe. Several graduate students and junior faculty will be supported by this award, some of whom will give talks at the conference.