报告题目:H-type fibration of spheres over symmetric spaces and its sub-Riemannian geometry.

报告人：张根凯教授

报告时间：下午：15:30-16:30

报告地点：理A 110

Title：H-type fibration of spheres over symmetric spaces and its sub-Riemannian geometry.

Abstract: The circle bundle of a line bundle over a Hermitian symmetric space and the 3-sphere bundle over quaternionic symmetric spaces have a sub-Riemannian structure and the corresponding curvature satisfies certain quadratic condition. We introduce a class of H-type fibrations over symmetric spaces generalizing these sphere bundles and study their sub-Riemannian geometry including heat kernel, Weyl type estimates for the eigenvalue of the sub-Laplacian.

Genkai Zhang (Chalmers Univ of Tech. and Gothenburg Univ., Sweden)

时间：4.20（周五）下午：15:30-16:30

地点：理A 110

张根凯，瑞典查尔莫斯科技学院与哥德堡大学数学系教授，德国Max-Planck institute of Mathematics访问教授，法国高等科学研究所访问教授，周向宇院士负责的中国科学院数学研究所分析团队客座教授，曾获瑞典数学会2001年Wallenberg奖。在Shimura 算子的特征值，degenerate principal series 表示，Harish-Chandra 球面函数的展开等研究领域做出了许多杰出的工作。在J. Differential Geometry, Duke Math. J.， Adv. Math., ,J. Functional Analysis, Math. Ann. 等国际一流数学刊物发表重要论文多篇.