EVENT DETAILS AND ABSTRACT

Title: On the higher rank Gross-Stark conjecture
Speaker: Samit Dasgupta
Speaker Info: University of California, Santa Cruz
Brief Description:
Special Note:
Abstract:

In 1980, Gross stated a conjecture relating the leading term of the p-adic L-function of a ray class character of a totally real field at s=0 to a p-adic regulator of p-units in the field cut out by the character. In previous joint work with Darmon and Pollack, we proved this conjecture in the rank one case under certain assumptions; these assumptions were later removed by Ventullo. In this talk, we describe work in progress with Ventullo and Kakde on the higher rank case. In particular, we present a proof in the rank two setting under a certain assumption. As a corollary of our result, we obtain an unconditional proof of the conjecture when the ground field is real quadratic.