2016年苏州几何群论研讨会报告
报告（一）
报告题目：Patterson-Sullivan测度在群论中的应用
报告时间：2016年10月15日（星期六）08:40—10:40
报告地点：苏州大学本部校区精正楼二楼学术报告厅
报告人：杨文元（北京国际数学研究中心）
摘要：Patterson-Sullivan的测度理论最初被发明出来用于计算极限集的Hausdorff维数。随后这套理论获得了广泛且深入地发展。这次报告中，我将介绍如何构造Patterson-Sullivan测度，及如何用来计数双曲群中的格点及双曲元素的共轭类等问题。
报告（二）
报告题目：An introduction to right-angled Artin groups
报告时间：2016年10月15日（星期六）11:00—11:50；14:00—14:50；
报告地点：苏州大学本部校区精正楼二楼学术报告厅
报告人：张强（西安交通大学）
摘要： In these two lectures, we will introduce right-angled Artin groups and their subgroups, especially their surface subgroups.
报告（三）
报告题目：Infinite Coxeter groups, Cayley graphs and limit roots
报告时间：2016年10月15日（星期六）15:10—17:10
报告地点：苏州大学本部校区精正楼二楼学术报告厅
报告人：傅翔（北京国际数学研究中心）
摘要：Cayley graphs and root systems are powerful tools constructed to study Coxeter groups. It is well known that the root systems of Coxeter groups are discrete. However if the generating set S is finite, then the projection of the roots of the corresponding Coxeter group W on suitably chosen hyperplanes may well present abundant asymptotic properties. In this talk we present the recently discovered connection between the visual boundaries of Cayley graphs and the limits of sequences of projected roots. This is joint work with L. Reeves of Melbourne University.
2016年苏州几何群论研讨会报告
报告（四）
报告题目：Cohomology of groups
报告时间：2016年10月16日（星期日）08:40—10:40
报告地点：苏州大学本部校区精正楼二楼学术报告厅
报告人：叶圣奎（西交利物浦大学）
摘要：In the two lectures, we will introduce basic notions in cohomology of groups. In particular, we will discuss low-dimensional cases, such as abelianization, central extensions etc.
报告（五）
报告题目：Bigelow's proof of linearity of braid groups
报告时间：2016年10月16日（星期日）11:00—11:50
报告地点：苏州大学本部校区精正楼二楼学术报告厅
报告人：陈智（合肥工业大学）
摘要：In this talk we introduce the construction of the Lawrence-Krammer representations of the braid groups, and Bigelow's geometric proof of faithfulness of these representations, which solved affirmatively the long standing open problem that whether braid groups are linear or not. Main tools involve (locally finite) homology groups with local coefficients, some kind of pairing between these homology groups, and some simple topological properties about configuration spaces.
报告（六）
报告题目：Orderable amenable groups
报告时间：2016年10月16日（星期日）14:00—14:50
报告地点：苏州大学本部校区精正楼二楼学术报告厅
报告人：史恩慧（苏州大学）
摘要：In this talk, we introduce the "dynamical proof" given by Witte-Morris of the result that every orderable, finitely generated, infinite, amenable group admits a nontrivial homomorphism into (R, +).
报告（七）
报告题目： A brief introduction to limit groups
报告时间：2016年10月16日（星期日）15:10—17:10
报告地点：苏州大学本部校区精正楼二楼学术报告厅
报告人：吴建春（苏州大学）
摘要：Limit groups are introduced by Z. Sela in his first paper of his solution of Tarski’s problem. These groups coincide with the long studied class of finitely generated fully residually free groups. In this talk, we will introduce both of them with some other different points of view, especially the definition as limit of free groups.