Overview
Syllabus
Intro
SETUP
SMOOTHING
THE BRUMER-STARK CONJECTURE
BRUMER-STARK AWAY FROM 2
GROUP RINGS AND STICKELBERGER ELEMENTS
CLASS GROUP
DEFINITION OF FITTING IDEAL
STRONG BRUMER-STARK
REFINEMENTS CONJECTURES BURNS-KURIHARA-SANO
REFINEMENT: EQUIVARIANT TAMAGAWA NUMBER CONJECTURE
RIBETS METHOD
GROUP RING VALUED MODULAR FORMS
GROUP RING CUSP FORM
GALOIS REPRESENTATION
KRONECKER-WEBER THEOREM
HILBERT'S 12TH PROBLEM (1900)
THE BRUMER-STARK AND GROSS-STARK CONJECTURES
EXACT FORMULA FOR THE UNITS
EISENSTEIN MEASURE
COMPUTATIONAL EXAMPLE
A LARGER EXAMPLE
PROOF OF EXACT FORMULA
Taught by
International Mathematical Union