New York Workshop on the Symmetric Group (NYSY)

该项目是一个？纽约对称群及相关专题研讨会（NYSY）？，将于2011年9月8日至10日在纽约市的纽约城市大学（CUNY）举行。头两天，在研究生中心（GC）在曼哈顿举行，将集中在当前的研究和新的发展，在研究对称群：普通和模块化表示理论的对称群和相关群体（包括验证的推广麦凯猜想在这些情况下），赫克代数，连接与几何，组合数学，数论和分区理论。将特别注意核心分区的经常性作用。第三天，在纽约市立大学高级学院皇后区的约克学院举行，将通过对称群和与分区和组合学的联系的讲座，为本科生介绍代数和数论。对称群几乎出现在任何科学分支中。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。 该研讨会的研究会议将有助于发展的相互作用领域的代表性理论的对称群，代数组合学和分区理论在未来几年。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。这些讲习班有很强的教育成分。来自纽约市立大学和地区学院的本科生将参加，甚至在第三天的平行会议上发表演讲。这是一个重要的机会，他们与一个广泛的活跃的研究人员在他们的领域，以实现更广泛的视角发展的前沿高等数学。这将增加对研究生院的兴趣，并有助于使候选人库多样化，因为纽约市立大学拥有许多有才华的妇女和少数民族本科生。

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.