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Brumer-Stark units and a conjecture of Gross - Kakde, Mahesh (Author of the conference) | CIRM H

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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.

11R37 ; 11R42

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