NSF/CBMS Regional Conference in the Mathematical Sciences - Hodge Theory, Complex Geometry, and Representation Theory

该奖项将支持NSF/CMBS区域会议将于2012年夏天在德克萨斯基督教大学举行，主题为霍奇理论，复几何和表示理论。主讲人是高等研究院的名誉教授菲利普格里菲斯。该奖项将支持30名处于不同职业生涯阶段的参与者。本次会议将描述超越经典案例的自守上同调的最新进展。 所涉及的材料是在汇合的几个部分的数学：霍奇理论，表示理论，和复杂的几何。 主要讲座将描述由于卡拉约尔和其他人的新突破，并将建立在格里菲斯和他的合作者对芒福德泰特集团和领域的最新工作。 讲座将集中在两个主要的例子，并打算向广泛的参与者。

This award will support an NSF/CMBS regional conference to be held at Texas Christian University in the summer of 2012 on the topic of Hodge theory, complex geometry, and representation theory. The principal speaker will be Professor Emeritus Phillip Griffiths from the Institute for Advanced Study. This award will support 30 participants at different stages of their careers.This conference will describe recent progress on automorphic cohomology beyond the classical cases. The material involved is at the confluence of several parts of mathematics: Hodge theory, representation theory, and complex geometry. The main lectures will describe new breakthroughs due to Carayol and others and will build upon the recent work of Griffiths and his collaborators on Mumford-Tate groups and domains. The lectures will focus on two main examples and are intended to be accessible to a wide range of participants.