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Brumer-Stark units and a conjecture of Gross

By Mahesh Kakde

Appears in collection : Galois Representations, Automorphic Forms and L-Functions / Représentations galoisiennes, formes automorphes et leurs fonctions L

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.

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  • DOI 10.24350/CIRM.V.19935103
  • Cite this video Kakde Mahesh (6/23/22). Brumer-Stark units and a conjecture of Gross. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19935103
  • URL https://dx.doi.org/10.24350/CIRM.V.19935103

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