Algebraic and Combinatorial Approaches to Representation Theory

李代数、量子群和代数群的表示理论代表了世纪数学研究的一个主要领域，在其他数学领域（如：几何、数论、组合学、有限和无限群等）有着众多的应用。和数学物理（如：共形场论、统计力学、可积系统等）。 一个关于代数和组合方法表示论的会议拟于2010年8月12日至16日在印度班加罗尔举行。这次会议将在2010年在印度海得拉巴举行的国际数学家大会之前举行。该基金将为来自亚洲、欧洲和美国的代表性理论专家提供一个独特的机会，让他们交流、分享想法，并报告这一重要研究领域的最新进展。该基金将为来自美国大学的约17名数学家提供机票支持，并为约9名美国研究生提供全额支持，以参加在班加罗尔举行的这次会议。印度国际理论科学中心（ICTS）将通过赠款为美国数学家提供当地支持（食宿）。会议将为美国的数学家和研究生提供一个与世界各地的研究人员互动的绝佳机会。特别是，它将提供一个机会， 在印度有很多知名的研究机构。 这些互动应该有助于美国大学吸引优秀的国际研究生，并最终加强美国的数学家人才库。

Representation theory of Lie algebras, quantum groups and algebraic groups represent a major area of mathematical research in the twenty-first century with numerous applications in other areas of mathematics (such as: geometry, number theory, combinatorics, finite and infinite groups, etc.) and mathematical physics (such as: conformal field theory, statistical mechanics, integrable systems, etc.). A conference on Algebraic and Combinatorial approaches to Representation Theory is proposed to be held at Bangalore, India during August 12-16, 2010. This conference will precede the International Congress of Mathematicians 2010 held at Hyderabad, India. It will provide a unique opportunity for specialists in representation theory from Asia, Europe and United States to interact, share ideas, and report on recent developments in this important area of research.This grant will provide support for airfare of about seventeen mathematicians from US Universities and full support for about nine US graduate students to participate in this conference at Bangalore. Local support (room and board) for US mathematicians will be provided through a grant from International Center for Theoretical Sciences (ICTS), India. The conference will provide an excellent opportunity for mathematicians and graduate students from the United States to interact with researchers around the world. In particular, it would provide an opportunity to develop cooperation and collaboration with many well-established research institutes in India. These interactions should help US universities to attract strong international graduate students and ultimately strengthen the pool of mathematicians in the United States.