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Brumer-Stark units and a conjecture of Gross
Multi angle
Authors : Kakde, Mahesh (Author of the conference)
CIRM (Publisher )
11R37 - Class field theory
11R42 - Zeta functions and $L$-functions of number fields, See also {11M41, 19F27}
CIRM (Publisher )
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Abstract :
The existence of Brumer-Stark unit is guaranteed by the Brumer-Stark conjecture. A conjecture of Dasgupta gives an explicit p-adic analytic formula for these units. An approach to this explicit formula is given by the tower of fields conjecture of Gross. After recalling these conjecture and relationship between them, I will sketch a proof the tower of fields conjecture. This is a joint work with Samit Dasgupta.
MSC Codes : 11R37 - Class field theory
11R42 - Zeta functions and $L$-functions of number fields, See also {11M41, 19F27}
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 25/07/2022 Conference Date : 23/06/2022 Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Number Theory Format : MP4 (.mp4) - HD Video Time : 01:00:01 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-06-20_Kakde.mp4 
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Information on the Event
Event Title : Galois Representations, Automorphic Forms and L-Functions / Représentations galoisiennes, formes automorphes et leurs fonctions LEvent Organizers : Benois, Denis ; Dimitrov, Mladen ; Lang, Jaclyn ; Wiese, Gabor Dates : 20/06/2022 - 24/06/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2552.html
Citation Data
DOI : 10.24350/CIRM.V.19935103Cite this video as: Kakde, Mahesh (2022). Brumer-Stark units and a conjecture of Gross. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19935103 URI : http://dx.doi.org/10.24350/CIRM.V.19935103 |
See Also
- [Multi angle] Smoothness of eigenvarieties and BSD for abelian surfaces / Author of the conference Loeffler, David.
- [Multi angle] Algebraicity of polyquadratic plectic points / Author of the conference Gehrmann, Lennart.
- [Multi angle] A factorisation ZBK= (0,∞) ⊗ (0,∞) of Beilinson-Kato's system / Author of the conference Colmez, Pierre.
- [Multi angle] On the geometry of deformation rings and the Taylor-Wiles hypothesis / Author of the conference Allen, Patrick.
Bibliography
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