Math @ Duke

Publications [#339636] of Samit Dasgupta
Papers Published
 Samit Dasgupta, ; Mahesh Kakde, ; Kevin Ventullo,, On the Gross–Stark Conjecture,
Annals of Mathematics, vol. 188 no. 3
(2018),
pp. 833833, Annals of Mathematics, Princeton U [doi]
(last updated on 2019/02/18)
Abstract: © 2018 Department of Mathematics, Princeton University. In 1980, Gross conjectured a formula for the expected leading term at s=0 of the DeligneRibet padic Lfunction associated to a totally even character ϕ of a totally real field F. The conjecture states that after scaling by L(ϕω1,0), this value is equal to a padic regulator of units in the abelian extension of F cut out by ϕω1. In this paper, we prove Gross's conjecture.


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