Number Theory

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

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.
Date: Monday, November 02, 2015
Time: 4:00PM
Where: Lunt 107
Contact Person: Yifeng LIu
Contact email: liuyf@math.northwestern.edu
Contact Phone:
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