Wednesday, June 28, 2023 - 16:45 in U2-200
Formulas for Brumer—Stark units
A talk in the Oberseminar Algebra und Geometrie series by
Matthew Honnor from Imperial College
| Abstract: |
In the 1980's, Tate stated the Brumer--Stark conjecture, which conjectures the existence of an algebraic unit called the Brumer--Stark unit whose $\mathfrak{p}$-order relates to the value of a partial zeta function at 0. We begin by introducing the conjecture and recent progress by Dasgupta--Kakde. Before focusing on three formulas, of Dasgupta and Dasgupta--Spieß, which have been conjectured for the Brumer--Stark unit. We report on joint work with Samit Dasgupta which shows that these three formulas are equal. To finish, we give some consequences of our result.
|
Back
