Workshop on mapping class groups of surfaces and outer automorphism groups of free groups

2015年5月25日至30日，将在德克萨斯大学奥斯汀分校举行“绘制班级分组和输出（F_N）”研讨会。本次会议汇集了研究现代几何群论和低维拓扑的两个基石的专家：曲面的映射类群和自由群的外自同构群。这些群体在数学中的普遍存在，从许多角度激发了他们的研究，并为许多不同领域的发展做出了贡献。研讨会将有6个入门迷你课程讲座和16个由世界顶尖专家主持的研究讲座，介绍该领域的前沿技术和最新成果。该奖项部分支持研讨会演讲者和早期职业数学家。映射类组和自由组的外部自同构组在其漫长而丰富的历史中一直携手发展，因为它们的定义和结构相似，并且因为它们在各自的元素中具有许多相同的健壮性。这两个群体之间的不完美类比导致了一方的许多惊人发展，而这反过来又引发了另一方的问题。此外，从这些群的设置中抽象出的思想和技术可以推广到许多其他类的群和几何情况中。讲座将涵盖广泛的主题，例如：相关复合体的双曲性、拟等距嵌入和距离公式、与直角Artin群的连接以及与其他群的外部自同构群的连接、代数和同构性质等。发言者和与会者将被要求提供与会议有关主题的链接，这些链接将发布在网站：http://www.math.uiuc.edu/~clein/modoutsched.html上

The "Workshop on Mapping Class Groups and Out(F_N)" will be held at the University of Texas, Austin, May 25-30, 2015. This conference brings together experts studying two of the cornerstones of modern geometric group theory and low-dimensional topology: mapping class groups of surfaces and outer automorphism groups of free groups. The ubiquity of these groups throughout mathematics has motivated their study from many perspectives, drawing on and contributing to the development of numerous diverse fields. The workshop will feature six introductory mini-course lectures and 16 research talks by the world's leading experts, describing cutting edge techniques and the latest results in the field. This award partially supports workshop speakers and early career mathematicians.Mapping class groups and outer automorphism groups of free groups have evolved hand-in-hand throughout their long and rich history because of the similarities in their definitions and structure, and because they share much of the same robustness in their individual elements. The imperfect analogy between the two groups has led to many striking developments on one side, which in turn motivate problems on the other. In addition, abstracting the ideas and techniques from the setting of these groups has led to generalizations with applications in many other classes of groups and geometric situations. The lectures will cover a wide array of topics, such as hyperbolicity of associated complexes, quasi-isometric embeddings and distance formulas, connections to right-angled Artin groups and to outer automorphism group of other groups, and algebraic and homological properties, to name a few. Speakers and conference participants will be asked to provide links to topics related to the conference, which will be posted to the website: http://www.math.uiuc.edu/~clein/modoutsched.html