Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms
Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms
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DOI：
10.1007/978-3-319-95231-4
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发表时间：
2018
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影响因子：
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通讯作者：
V. Heiermann;Dipendra Prasad
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文献类型：
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作者：
V. Heiermann;Dipendra Prasad
本卷是2016年第一学期在马赛CIRM组织的Chaire Morlet活动期间的各种活动的全景。来自孟买塔塔研究所的迪彭德拉·普拉萨德是杰出的莫莱教授，来自艾克斯马赛大学的沃尔克·海尔曼是当地的东道主。本学期开始于2016年1月与车间“几何方法和朗兰兹功能性的积极特征”，其目的是给文森特Lafforgue谁也给了一些讲座研讨会上的重要近期工作的阐述。一个必要的先决条件，拉福格的工作是几何佐竹对应。这是由皮埃尔·鲍曼，德拉戈斯Fratila和西蒙·里奇的优秀讲座提供的。我们感谢皮埃尔·鲍曼和西蒙·里奇的文章“关于几何佐竹对应的注释”，这是对这些讲座的一个相当大的扩展。在五月，我们有博士学校“介绍相对方面的表示理论，朗兰兹功能性和自守形式”与讲座由伊万Badulescu，菲奥娜Murnaghan，奥默奥芬和Dipendra普拉萨德。这所学校有许多博士后和博士生，其中许多人是第一次接触这门学科。基于这些讲座的Badulescu，Murnaghan和奥芬都包括在这本书中。有一个“研究对”活动与保罗布鲁苏和弗朗索瓦Courtès（谁-我们很遗憾地提到-去世在2016年秋季）从普瓦捷大学对他们的区别斯坦伯格表示证明。这一工作利用了Bruhat-Tits建筑的理论，特别是Borel-Serre定理在Bruhat-Tits建筑的顶维紧支撑上同调中实现了Steinberg表示.读者会发现一个重要的文件布鲁苏斯关于这个主题后，在博士学校的迷你课程。在五月底，我们有主会议“相对迹公式，周期，L-函数和谐波分析”组织与皮埃尔-亨利Chaudouard和Yiannis Sakellarlane一起。它汇集了70多位杰出的研究人员，进行了许多有趣的演讲和宝贵的交流。从这次会议上，读者将在本书中找到詹姆斯亚瑟和李文伟的论文。(The詹姆斯亚瑟的论文首次出现在西蒙斯诉
This volume is a panorama of the diverse activities during the Chaire Morlet events organized at the CIRM in Marseille during the first semester of 2016. Dipendra Prasad from Tata Institute in Mumbai was the distinguished Chaire Morlet Professor and Volker Heiermann from Aix Marseille University was the local host. The semester started in January 2016 with the workshop “Geometric Methods and Langlands Functoriality in Positive Characteristic”, which aimed at giving an exposition on the important recent work of Vincent Lafforgue who also gave some lectures at the workshop. An essential prerequisite for Lafforgue’s work is the geometric Satake correspondence. This was provided by excellent lectures by Pierre Baumann, Dragos Fratila and Simon Riche. We are grateful to Pierre Baumann and Simon Riche for their article “Notes on the geometric Satake correspondence”, which is a considerably expanded account of these lectures. In May we had the doctoral school “Introduction to Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms” with lectures by Ioan Badulescu, Fiona Murnaghan, Omer Offen and Dipendra Prasad. This school was attended by many postdoctoral and PhD students, many of whom got exposed to the subject for the first time. Scripts based on these lectures of Badulescu, Murnaghan and Offen are included in this book. There was a “Research in Pairs” activity with Paul Broussous and François Courtès (who—we are very sorry to mention—passed away in fall 2016) from the University of Poitiers on their proof of the distinction of the Steinberg representation. This work used the theory of the Bruhat-Tits building, especially a theorem of Borel–Serre realizing the Steinberg representation in the top dimensional compactly supported cohomology of the Bruhat-Tits building. The reader will find an important paper by Broussous on this topic following the mini-courses at the doctoral school. At the end of May, we had the main conference “Relative Trace Formula, Periods, L-Functions and Harmonic Analysis” organized together with Pierre-Henri Chaudouard and Yiannis Sakellaridis. It brought together more than 70 distinguished researchers on the topic with many interesting talks and valuable exchanges. From the conference, the reader will find a paper of James Arthur and Wen-Wei Li in this book.(The paper of James Arthur appeared first in Simons v