New York Workshop on the Symmetric Group (NYSY)

拟议的项目是一个？纽约对称组及相关主题研讨会（nyy）？该研讨会将于2011年9月8日至10日在纽约城市大学（CUNY）举行。前两天，在曼哈顿的研究生中心（GC）举行，将重点关注对称群研究的当前研究和新发展：对称群和相关群的普通和模表示理论（包括在这些情况下McKay猜想的推广验证），Hecke代数，与几何的联系，组合学，数论和分拆论。将特别注意核心分区的重复作用。第三天将在纽约市立大学的高级学院——皇后区约克学院举行，将通过对称群以及与分区和组合的联系的讲座，为本科生介绍代数和数论。对称群几乎出现在所有的科学早午餐中。它们的结构和表示理论可以用组合数据和几何性质来描述。研讨会的研究将有助于对称群的表示理论、代数组合学和分拆理论在未来几年的相互作用领域的发展。该讲习班将加强从事类似项目的研究小组之间的区域和国际合作。这些工作坊有很强的教育成分。来自纽约市立大学和地区学院的本科生将在第三天的平行会议上参加并发表演讲。这对他们来说是一个重要的机会，可以与他们所在领域的大量活跃的研究人员进行互动，从而在高等数学的前沿领域获得更广阔的发展前景。这将增加对研究生院的兴趣，并有助于多样化候选人池，因为纽约市立大学拥有许多有才华的女性和少数民族本科生。

The proposed project is a ?New York workshop on the symmetric groups and related topics (NYSY)?, which will be held at the City University of New York (CUNY) in New York City from September 8-10, 2011. The first two days, held at the Graduate Center (GC) in Manhattan, will focus on current research and new developments in the study of symmetric groups: ordinary and modular representation theory of the symmetric group and related groups (including the verification of generalizations of the McKay conjecture in these cases), Hecke algebras, connections with geometry, combinatorics, number theory and partition theory. Special attention will be paid to the recurring role of core partitions. The third day, held at York College in Queens, a CUNY senior college, and will be designed as introduction for undergraduates to algebra and number theory through lectures on the symmetric groups and connections with partitions and combinatorics. Symmetric groups appear in almost any brunch of sciences. Their structures and representation theory can be described in terms combinatorial data and geometric properties. The research sessions of the workshop will contribute to the development of the interacting fields of representation theory of the symmetric groups, algebraic combinatorics, and partition theory in the coming years. This workshop will enhance regional and international collaborations among research groups working on similar projects. There is a strong educational component to these workshop. Undergraduate students from CUNY and area colleges will participate and even give talks in parallel sessions during the third day. This is an important opportunity for them to interact with a wide group of active researchers in their area to achieve a broader perspective of developments on the frontiers of higher mathematics. This will increase interest in graduate school and aid in diversifying the candidate pool as CUNY boasts a number of talented women and minority undergraduate students.