I will provide analytic background underlying the use of modern topology to discuss phases of matter in physics (Nobel Prize 2016). A "topological" insulator paradoxically turns into a "topological metal" at its boundary, and this defining feature survives a large variety of perturbations. Mathematically, one encounters twisted Schrodinger operators, and discovers that certain spectra are "topologically-protected'', via index theory. The example of quantum Hall systems (Nobel 1985), on general manifolds, will be discussed.

5 Jan 2022
11:30am - 12:30pm
Room 5508 (Lifts 25/26)
Prof. Guo Chuan THIANG
Beijing International Center for Mathematical Research, Peking University
Department of Mathematics
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Alumni, Faculty and staff, PG students, UG students
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