On Brumer-Stark Units and Hilbert’s 12th Problem by Mahesh Kakde and Samit Dasgupta

A live interactive session with the speaker will be hosted online on February 23, 2022, at 06:00 PM Indian Standard Time. Viewers can send in their questions for the speaker in advance of the live interactive session by filling out the Google form below before AM IST on February 21, 2022.
Start
Getting Started
Speakers
The Principle Aim & Format
Introduction
Preface
Diophantine Equations
Abelian extensions
Abelian extensions of imaginary quadratic fields
Hilbert's 12th problem
Stickelberger's theorem
Sickelberger's theorem
Analogue of Stickelberger's theorem for other number fields
General Stickelberger element
Brumer-Stark-Tate conjecture
Refinements of Brumer-Stark conjecture
Brumer-Stark-Tate from refinements
First reduction
MOTIVATION
EXPLICIT CLASS FIELD THEORY
THE BRUMER-STARK AND GROSS-STARK CONJECTURES
SOME OF MY PRIOR WORK IN THIS AREA
NEW RESULTS WITH MAHESH KAKDE
EXACT FORMULA FOR THE UNITS
COMPUTATIONAL EXAMPLE
A LARGER EXAMPLE
REFINEMENTS: CONJECTURES OF KURIHARA, BURNS, AND SANO
DEFINITION OF FITTING IDEAL
RITTER-WEISS MODULE
INCLUSION IMPLIES EQUALITY
RIBET'S METHOD
GROUP RING VALUED MODULAR FORMS
GROUP RING CUSP FORM
GALOIS REPRESENTATION
P-ADIC INTEGRAL FORMULA FOR UNITS
Thank you!