Speaker: Shilin Yu (East China Normal University)
Time: 2025-12-26 14:30-15:30
Location: 1410, SIMIS
Abstract:
The coadjoint orbit philosophy of Kirillov and Kostant posits a deep relationship between representation theory of a Lie group and coadjoint orbits in the dual of its Lie algebra. From this viewpoint, irreducible unitary representations are expected to arise as quantizations of coadjoint orbits, which carry natural symplectic structures. This perspective may be regarded as a representation-theoretic analogue of the passage from classical to quantum mechanics. In this talk, I will review the basic ideas of the coadjoint orbit method and discuss recent developments in the setting of reductive groups.
About Speaker
Professor Shilin Yu is a professor at the School of Mathematical Sciences, East China Normal University. His main research focuses on noncommutative geometry and representation theory. He has published extensively in several top international mathematics journals, such as Duke Math. J., Math. Ann., and Adv. Math.. He was selected for the National High-Level Talent (Youth) Program in 2019.
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