Generalized Kepler Problems
Speaker: Guowu Meng, Hong Kong UST, and IAS
Abstract: For many elegant mathematical examples, one can 1) find theories behind them, 2) understand why they exist in the first place, 3) explore the consequences in math and physics. If one takes Euler number as such an example, then the theory behind it is the theory of characteristic classes for which vector bundles provide the natural home settings. In this talk, I would argue that the Kepler problem for planetary motions is another such an example for which simple euclidean Jordan algebras provide the the natural home settings for the general theory. This general theory for the Kepler problem could have been discovered in the late 1960's, and it is intimately related to harmonic analysis on symmetric domains and related (infinite dimensional) unitary highest weight modules.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm