Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions
Name
wang-diwang-phd-math-2024-thesis.pdf
Description
Thesis PDF
Size
744.96 KB
Format
Adobe PDF
Checksum (MD5)
884e722a86dd97c00f1a8103b44675fd
Author(s)
Wang, Danielle
Advisor(s)
Zhang, Wei
Date Issued
May 2024
Publisher
Massachusetts Institute of Technology
Abstract
The global twisted GGP conjecture is a variant of the Gan-Gross-Prasad conjecture for unitary groups, and considers the restriction of an automorphic representation of GL(V ) to its subgroup U(V ), for a skew-Hermitian space V. It relates the nonvanishing of a certain period integral to the central value of an L-function attached to the representation.
In this thesis, using a relative trace formula approach, we prove the global twisted GGP conjecture in the unramified case, under some additional local assumptions on the quadratic extension and the automorphic representation. In particular, we reduce the required fundamental lemma to the Jacquet-Rallis fundamental lemma.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
In Copyright - Educational Use Permitted
Copyright retained by author(s)
Persistent DSpace Link
