时 间:2023年11月17日(周五)下午15:30
地 点:武汉大学数学会堂
主讲人:王诗宬 中国科学院院士
题 目:从平行公理到空间的弯曲
主讲人简介:
王诗宬,数学家,中国科学院院士,北京大学数学科学学院教授、博士生导师,北京大学数学研究所所长。1981年从北京大学硕士毕业后留校任教;1988年获得美国加州大学洛杉机分校博士学位;1998年获得陈省身数学奖;1999年至2008年担任北京大学数学研究所副所长;2002年应邀在国际数学家大会作45分钟报告;2005年当选为中国科学院院士;2012年至2015年担任中国数学会第十一届理事会理事长。
王诗宬院士主要研究低维拓扑,涉及几何群论,不动点,动力系统和代数拓扑等领域。与合作者取得了如下成果:发现三维流形中本质浸入曲面不能提升成有限覆叠中嵌入曲面的第一个例子;观察到卫星结上循环手术的障碍,证明了双曲流形中的浸入本质曲面边界数的有限性;在有限群作用、手性、流形嵌入、吸引子与流形拓扑间的制约等方面均有颇具创意的研究;特别是开拓和发展了三维流形间的映射这个研究领域,在探索覆叠度的唯一性、非零度映射的存在性、有限性、标准型及其与三维流形拓扑的相互作用中,有一系列预见和佳作。
Brief Introduction of Professor Shicheng Wang
Dr. Shicheng Wang is a mathematician and an academician of the Chinese Academy of Sciences (CAS). He is a professor and doctoral supervisor at the School of Mathematical Sciences at Peking University, as well as the director of the Institute of Mathematics at Peking University. After obtaining his master's degree from Peking University in 1981, he became a faculty member at the university. In 1988, he earned his Ph.D. from the University of California, Los Angeles, USA.In 1998, he was awarded the Shiing-shen Chern Prize in Mathematics. From 1999 to 2008, he served as the deputy director of the Institute of Mathematics at Peking University. He was an invited speaker at the International Congress of Mathematicians (ICM) in 2002, and was elected as an academician of the Chinese Academy of Sciences in 2005 and served as the Chairman of the 11th Council of the Chinese Mathematical Society from 2012 to 2015.
Dr. Wang’s main research focus lies in low-dimensional topology, encompassing areas such as geometric group theory, fixed point theory, dynamical systems, and algebraic topology. He has achieved the following major results with his collaborators: the discovery of the first example that an immersed essential surface in a 3-manifold cannot be lifted to a surface embedded in a finite covering; the observation of obstructions to cyclic surgeries on satellite knots, along with a proof of the finiteness of the number of boundary slopes of immersed essential surfaces in a hyperbolic 3-manifold; and creative research in areas including finite group actions, chirality, manifold embeddings, and constraints between attractors and manifold topology. Particularly noteworthy is his pioneering work in the mappings between 3-manifolds, which includes a series of insightful and significant contributions to the exploration of the uniqueness of the degree of covering maps, the existence, finiteness, standard types of non-zero degree maps and their interactions with 3-manifold topology.