The Harish-Chandra module plays an essential role in the study of representation theory, and its family version is introduced by Joseph Bernstein in an algebro-geometric way. On the other hand, the study of hydrogen atom is a very important test case in quantum mechanics. In this seminar, we follow the recent work by Nigel Higson and Eyal Subag and introduce how the families of Harish-Chandra modules are obtained from the symmetries of the hydrogen atom. Several fundamental consequences in quantum mechanics will be recovered in a representation-theoretical manner with the aid of the families of Harish-Chandra modules.

7 May 2022
10:00am - 11:00am
Where
https://hkust.zoom.us/j/95054366771 (Passcode: 2022)
Speakers/Performers
Mr. Jiazhuo XIAO
Organizer(S)
Department of Mathematics
Contact/Enquiries
Payment Details
Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
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