BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

On the Gross-Stark Conjecture Dasgupta, Samit


In 1980, Gross conjectured a formula for the expected leading term at \(s=0\) of the Deligne-Ribet \(p\)-adic \(L\)-function associated to a totally even character \(\psi\) of a totally real field \(F\). The conjecture states that after scaling by \(L(\psi \omega^{-1}, 0)\), this value is equal to a \(p\)-adic regulator of units in the abelian extension of \(F\) cut out by \(\psi \omega^{-1}\). In this talk we describe a proof of Gross's conjecture. This is joint work with Mahesh Kakde and Kevin Ventullo.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International