The Weil representation is an important representation of the Metaplectic group, a double cover of the symplectic group. To study this representation, one can embed the even part into a degenerate principal series representation, which contains a spherical vector. Then one can compute the action of the metaplectic Hecke algebra on this spherical vector by a formula analogous to Macdonald’s formula on p-adic spherical functions. This method might be generalized to the case of loop groups.

5月8日
3:00pm - 4:00pm
地点
https://hkust.zoom.us/j/98697265817 (Passcode: 704828)
讲者/表演者
Mr. Yanze CHEN
主办单位
Department of Mathematics
联系方法
付款详情
对象
Alumni, Faculty and staff, PG students, UG students
语言
英语
其他活动
5月15日
研讨会, 演讲, 讲座
IAS / School of Science Joint Lecture - Laser Spectroscopy of Computable Atoms and Molecules with Unprecedented Accuracy
Abstract Precision spectroscopy of the hydrogen atom, a fundamental two-body system, has been instrumental in shaping quantum mechanics. Today, advances in theory and experiment allow us to ext...
3月24日
研讨会, 演讲, 讲座
IAS / School of Science Joint Lecture - Pushing the Limit of Nonlinear Vibrational Spectroscopy for Molecular Surfaces/Interfaces Studies
Abstract Surfaces and interfaces are ubiquitous in Nature. Sum-frequency generation vibrational spectroscopy (SFG-VS) is a powerful surface/interface selective and sub-monolayer sensitive spect...