*主持人：刘治国 教授

*讲座内容简介：

First, I will give a brief overview on the combinatorial background of Fishburn numbers and their relations to basic hypergeometric series. Second, I will focus on my recent work on the refined enumerations of the members of the Fishburn family, bi-symmetric joint distributions of permutation statistics and limiting shapes of random Fishburn matrices, highlighting the power of transformations of basic hypergeometric series, saddle-point method and modular forms. Finally, I will present some applications of the new transformation formula for non-terminating basic hypergeometric series in the context of permutations.

*主讲人简介：

靳宇，厦门大学数学科学学院教授，国家高层次青年人才。2010年在南开大学获得博士学位。之后，在德国凯泽斯劳滕大学，奥地利维也纳科技大学和维也纳大学从事博士后研究。主要从事组合计数和解析组合方向的研究工作。 已经在J. Combin. Theory Ser. A和Random Struct. Algor. 等重要学术期刊发表多篇文章。先后获得过美国生物数学协会的Lee Segel奖学金，德国洪堡博士后奖学金，主持过德国国家基金委DFG的个人项目，奥地利国家基金委Elise-Richter项目。