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.

8 May 2021
3:00pm - 4:00pm
Where
https://hkust.zoom.us/j/98697265817 (Passcode: 704828)
Speakers/Performers
Mr. Yanze CHEN
Organizer(S)
Department of Mathematics
Contact/Enquiries
Payment Details
Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
Other Events
10 Oct 2025
Seminar, Lecture, Talk
IAS / School of Science Joint Lecture - Use of Large Animal Models to Investigate Brain Diseases
Abstract Genetically modified animal models have been extensively used to investigate the pathogenesis of age-dependent neurodegenerative diseases, such as Alzheimer (AD), Parkinson (PD), Hunti...
14 Jul 2025
Seminar, Lecture, Talk
IAS / School of Science Joint Lecture - Boron Clusters
Abstract The study of carbon clusters led to the discoveries of fullerenes, carbon nanotubes, and graphene. Are there other elements that can form similar nanostructures? To answer this questio...