2026-09-20T16:24:24Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1553152024-06-28T03:37:25Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Zhang, Wei
Wang, Danielle
Massachusetts Institute of Technology. Department of Mathematics
2024-06-27T19:44:18Z
2024-06-27T19:44:18Z
2024-05
2024-05-15T16:21:03.329Z
https://hdl.handle.net/1721.1/155315
https://orcid.org/0000-0001-5540-8685
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.
Ph.D.
Massachusetts Institute of Technology
In Copyright - Educational Use Permitted
Copyright retained by author(s)
https://rightsstatements.org/page/InC-EDU/1.0/
Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions
Thesis
application/pdf
Doctoral
Doctor of Philosophy
Publication
unknown
unknown
<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="67a50abe-2653-4bdc-8f74-21610bfb01fe">
<Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type>
<Title>Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions</Title>
<PublishedIn>
<Publication>
</Publication>
</PublishedIn>
<PublicationDate>2024-05</PublicationDate>
<Authors>
<Author>
<DisplayName>Wang, Danielle</DisplayName>
<Affiliation>
<OrgUnit>
</OrgUnit>
</Affiliation>
</Author>
</Authors>
<Editors>
</Editors>
<Publishers>
<Publisher>
<DisplayName>Massachusetts Institute of Technology</DisplayName>
<OrgUnit />
</Publisher>
</Publishers>
<License>https://rightsstatements.org/page/InC-EDU/1.0/</License>
<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.</Abstract>
<Access xmlns="http://purl.org/coar/access_right"
>
</Access>
</Publication>