时间：2017年6月20日（星期二）15：00 -16：00
地点：旗山校区理工北楼601报告厅
主讲：Rutgers University–Camden，Siqi Fu 教授
主办：数学与计算机科学学院、福建省分析数学及应用重点实验室、数学研究中心
专家简介：Siqi Fu，Rutgers University–Camden教授，1984年获华南师范大学学士学位，1987年获北京大学硕士学位，1994年获Washington University博士学位。
报告摘要：In this talk, we explain how one can determine pseudoconvexity in Lipschitz domains with holes via spectral property of the -Neumann Laplacian. More precisely, let Ω = Ω\ D where Ωis a bounded domain with connected complement in Cn and D is relatively compact open subset of Ωwith connected complement in Ω. We obtain characterizations of pseudoconvexity of Ωand D through the vanishing or Hausdorff property of the Dolbeaultcohomology groups on various function spaces. In particular, we show that if the boundaries of Ωand D are Lipschitz and C2-smooth respectively, then both Ωand D arepseudoconvex if and only if 0 is not in the spectrum of the-Neumann Laplacian on (0,q)-forms for 1 ≤ q ≤ n2 when n ≥ 3; or 0 is not a limit point of the spectrum of the-Neumannn Laplacian on (0, 1)-forms when n = 2. This is a joint work with Christine Laurent-Thi ebaut and Mei-Chi Shaw.