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Theta lifts of tempered representations and Langlands parameters
Multi angle
Authors : Gan, Wee Teck (Author of the conference)
CIRM (Publisher )
11F27 - Theta series; Weil representation; theta correspondences
11F70 - Representation-theoretic methods; automorphic representations over local and global fields
22E50 - Representations of Lie and linear algebraic groups over local fields
CIRM (Publisher )
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Abstract :
In joint work with Hiraku Atobe, we determine the theta lifting of irreducible tempered representations for symplectic-metaplectic–orthogonal and unitary dual pairs in terms of the local Langlands correspondence. The main new tool for proving our result is the recently established local Gross-Prasad conjecture.
MSC Codes : 11F27 - Theta series; Weil representation; theta correspondences
11F70 - Representation-theoretic methods; automorphic representations over local and global fields
22E50 - Representations of Lie and linear algebraic groups over local fields
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/06/2016 Conference Date : 26/05/2016 Subseries : Research talks arXiv category : Number Theory ; Representation Theory Mathematical Area(s) : Lie Theory and Generalizations ; Number Theory Format : MP4 (.mp4) - HD Video Time : 01:01:59 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-05-26_Gan.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair: Relative trace formula, periods, L-functions and harmonic analysis / Chaire Jean-Morlet : Formule des traces relatives, périodes, fonctions L et analyse harmoniqueEvent Organizers : Chaudouard, Pierre-Henri ; Heiermann, Volker ; Prasad, Dipendra ; Sakellaridis, Yiannis Dates : 23/05/2016 - 27/05/2016 Event Year : 2016 Event URL : https://www.chairejeanmorlet.com/1351.html
Citation Data
DOI : 10.24350/CIRM.V.18982603Cite this video as: Gan, Wee Teck (2016). Theta lifts of tempered representations and Langlands parameters. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18982603 URI : http://dx.doi.org/10.24350/CIRM.V.18982603 |
See Also
- [Multi angle] The local Gan-Gross-Prasad conjecture for unitary groups / Author of the conference Beuzart-Plessis, Raphaël.
- [Multi angle] Congruent number problem and BSD conjecture / Author of the conference Zhang, Shou-Wu.
- [Multi angle] Tame relatively supercuspidal representations / Author of the conference Murnaghan, Fiona.
- [Post-edited] Beyond Endoscopy and elliptic terms in the trace formula / Author of the conference Arthur, James Greig.
Bibliography
- Atobe, H., Gan, W.T. (2016). Local Theta correspondence of Tempered Representations and Langlands parameters.
