【学术报告】Open space index theorems in physics

• 主讲人：Prof. Guo Chuan Thiang, BICMR, Peking University
• 举办方： Beijing-Novosibirsk Seminar on Geometry and Mathematical Physics by Sino-Russian Mathematics Center
• 时间： 2022-03-10 16:00 - 2022-03-10 18:00
• 地点： online

To Join Zoom Meeting:

https://us02web.zoom.us/j/84899577888?pwd=NEtzdUh2UDNCalVXZHJIVEV6cWJIQT09

Meeting ID: 848 9957 7888

Password: 827391

 

Abstract: The incredible stability of topological phases such as quantum Hall systems indicates an underlying index theorem protecting the spectral phenomenon. In contrast to the Atiyah-Singer theory used for compactified problems, what is required here is an index theory on noncompact manifolds, with interplay between discrete and continuous spectra. This is the subject of coarse geometry and index theory, and I will explain how they are manifested physically in actual experiments.

 

Bio: Guo Chuan Thiang is an assistant professor at BICMR. He was a DECRA Research Fellow at the University of Adelaide, and also a Postdoc at the School of Mathematical Sciences, University of Adelaide.
    Prior to this, Prof. Thiang completed a DPhil in Mathematics at the University of Oxford, a Master's degree at the University of Cambridge, and studied physics and mathematics at the National University of Singapore.
    Guo Chuan Thiang’s research interest revolves around K-theory, algebraic topology, noncommutative geometry, index theory, operator algebras, and functional analysis, usually in the physical contexts of topological phases of matter, quantum theory, and strings. Currently, he is investigating the role of coarse geometry, gerbes, spectral flows, and dualities in contemporary physics problems.