Explore the intricate connections between theta lifting and Langlands functoriality in this 44-minute lecture by Atsushi Ichino. Delve into key concepts such as seesaw identities, modular forms of half integral weight, and the local Shimura-Waldspurger correspondence. Examine the geometric realization of Langlands functoriality and revisit the Jacquet-Langlands correspondence, gaining deeper insights into these advanced mathematical topics.
Atsushi Ichino- Theta Lifting and Langlands Functoriality
International Mathematical Union via YouTube
Overview
Syllabus
Introduction
Theta lifting
Seesaw identities (Kudla)
Modular forms of half integral weight
Local Shimura-Waldspurger correspondence
Geometric realization of Langlands functoriality
Jacquet-Langlands correspondence (again)
Taught by
International Mathematical Union
