They admit, on the one hand, the local operation of exterior differentiation, and on the other the global operation of integration over cochains, and these are related via Stokes's Theorem. September 2, 2004 9:57 WSPC/Trim Size: 9.75in x 6.5in for Proceedings moore2 CHERN–SIMONS GAUGE THEORY AND THE AdS 3/CFT 2 CORRESPONDENCE SERGEI GUKOV,1 EMIL MARTINEC,2 GREGORY MOORE,31 EMIL Chern was born in Xiushui County (秀水縣, now part of Jiaxing), in Zhejiang province, during the 1911 Revolution that overthrew China’s last imperial dynasty. [2][17] Before leaving to the United States, Chern was offered a position at the Tata Institute of Fundamental Research in Bombay, India. Nobel Prize winner and former student CN Yang has said[23], “Chern and I and many others felt that we have the responsibility to try to create more understanding between the American people and the Chinese people, and... all of us shared the desire to promote more exchanges.”, In 1999, Chern moved from Berkeley back to Tianjin, China permanently until his death. In 1950 he was invited by the International Congress of Mathematicians in Cambridge, Massachusetts. At the same time, Chern was Chen-Ning Yang's teacher of undergraduate maths at Tsinghua. He was known for unifying geometric and topological methods to prove stunning new results. He would say, “After you left, I thought more about your questions...”—he had some results, and some more questions, and so on. 1985), TU Berlin (Dr.Math. He made fundamental contributions to differential geometry and topology. Chern-Simons form Chern was largely responsible in making the US a leading research hub in the field, but he remained modest about his achievements, preferring to say that he is a man of 'small problems' rather than 'big views.'[5]. [7], Based on Chern's advice, a mathematical research center was established in Taipei, Taiwan, whose co-operational partners are National Taiwan University, National Tsing Hua University and the Academia Sinica Institute of Mathematics. Chern was the acting president of the institute. See the citations for more info. In 1926, after spending four years in Tianjin, Chern graduated from Fulun High School (扶輪中學).[12]. Griffiths wrote:[11], “More than any other mathematician, Shiing-Shen Chern defined the subject of global differential geometry, a central area in contemporary mathematics. [11] According to Taking the Long View: The Life of Shiing-shen Chern (2011):[7]. He has been called the "father of modern differential geometry" and is widely regarded as a leader in geometry and one of the greatest mathematicians of the twentieth century, winning numerous awards and recognition including the Wolf Prize and the inaugural Shaw Prize. By the end of 1948, Chern returned to the United States and IAS because of the Chinese Civil War. In contrast the bulk partition function of AdS(3) string theory is the modular-invariant partition function of the dual CFT on the boundary. There he met Cartan once a fortnight. I would not conclude this account without mentioning my wife's role in my life and work. Jean-Pierre Serre of the Collège de France was the Chern Visiting Professor for 1999. [17] He brought his family with him. The MSRI also set up a Chern Professorship, funded by Chern's children May and Paul as well as James Simons.[36]. [5], In July 1943, Chern went to the United States, and worked at the Institute for Advanced Study (IAS) in Princeton on characteristic classes in differential geometry. He was admired and respected by Chinese leaders Mao Zedong, Deng Xiaoping, and Jiang Zemin. Chern received numerous honors and awards in his life, including: Chern was given a number of honorary degrees, including from The Chinese University of Hong Kong (LL.D. He used the moving frame method with success only matched by its inventor; he preferred in complex manifold theory to stay with the geometry, rather than follow the potential theory. [Chern] took great pleasure in getting to know and working with and helping to guide young mathematicians.

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