2 citations · 3 across the 6 of their papers we have counts for
6 papers · 1 filter
Ranks of Matrices of Logarithms of Algebraic Numbers II: The Matrix Coefficient Conjecture
Samit Dasgupta, Mahesh Kakde
Many questions in number theory concern the nonvanishing of determinants of square matrices of logarithms (complex or p-adic) of algebraic numbers. We present a new conjecture that…
The Residually Indistinguishable Case of Ribet's Method for GL2
Samit Dasgupta, Mahesh Kakde, Jesse Silliman +1
Ribet's method provides a strategy for constructing a nontrivial extension of a -adic Galois representation by another such representation . Suppose we are working ov…
The Brumer--Stark Conjecture over Z
Samit Dasgupta, Mahesh Kakde, Jesse Silliman +1
In this paper we give a complete proof of the Brumer-Stark conjecture over .
Two encounters with the p-adic Stark conjecture
Benedict H. Gross, Samit Dasgupta
In this note we describe our personal encounters with the -adic Stark conjecture. Gross describes the period between and when he came to formulate these conjecture…
The Eisenstein cocycle, partial zeta values and Gross--Stark units
Samit Dasgupta, Michael Spieß
We introduce an integral version of the Eisenstein cocycle. As applications we prove a conjecture of Gross regarding the "order of vanishing" of Stickelberger elements relative to…
Integral Eisenstein cocycles on GLn, II : Shintani's method
Pierre Charollois, Samit Dasgupta, Matthew Greenberg
We define a cocycle on Gln using Shintani's method. It is closely related to cocycles defined earlier by Solomon and Hill, but differs in that the cocycle property is achieved thro…