Index Theory and Tangent Groupoid – SIMIS・上海数学与交叉学科研究院

Speaker: Xiaoman Chen (Fudan University)

Host: Huaxin Lin

Abstract: The rescaled bundle over tangent groupoid encodes the Getzler’s rescaling method in local index theorem. But how does it related to Getzler’s pseudodifferential calculus? This talk is an attempt to answer the question. By following a groupoid approach to pseudodifferential calculus developed by Van erp and Yuncken, we study the pseudodifferential calculus on the rescaled bundle and show that the rescaled bundle gives a geometric characterization to asymptotic pseudodifferential calculus on spinor bundles

Time: 2:30-3:30 pm, Thursday, November 14, 2024

Location: Auditorium (18th floor) at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai

About the speaker: Xiaoman Chen is currently the Dean of Fudan Institute for Advanced Study, a professor and doctoral supervisor at the School of Mathematical Sciences at Fudan University, and had served as a Vice President and the Executive Vice President of Fudan University. Xiaoman Chen’s research interest is in functional analysis, and he has made important contributions in the fields of non-commutative geometry, high index theory, operator algebra and operator theory, coarse geometry, and geometric group theory. He has published 1 monograph and over 80 papers in renowned academic journals, including J Reine Angew. Math., Adv. Math., J. Funct. Anal., etc. Xiaoman Chen has presided over several key projects of the National Natural Science Foundation of China, international cooperation and exchange projects, and general projects. He won the second prize of the Ministry of Education’s Science and Technology Progress Award in 1986, was selected as a Trans-Century Excellent Talent by the Ministry of Education in 1997, won the Baosteel Education Award in 1998, won the first Su Buqing Mathematics Award in 2000, and won the first prize of the Shanghai Science and Technology Progress Award in 2003. He was selected as an excellent academic leader in Shanghai. In 2004, he was awarded the Fudan University President’s Award.