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HILBERT'S 12TH PROBLEM (1900)
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Classroom Contents
On the Brumer-Stark Conjecture and Refinements
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- 1 Intro
- 2 SETUP
- 3 SMOOTHING
- 4 THE BRUMER-STARK CONJECTURE
- 5 BRUMER-STARK AWAY FROM 2
- 6 GROUP RINGS AND STICKELBERGER ELEMENTS
- 7 CLASS GROUP
- 8 DEFINITION OF FITTING IDEAL
- 9 STRONG BRUMER-STARK
- 10 REFINEMENTS CONJECTURES BURNS-KURIHARA-SANO
- 11 REFINEMENT: EQUIVARIANT TAMAGAWA NUMBER CONJECTURE
- 12 RIBETS METHOD
- 13 GROUP RING VALUED MODULAR FORMS
- 14 GROUP RING CUSP FORM
- 15 GALOIS REPRESENTATION
- 16 KRONECKER-WEBER THEOREM
- 17 HILBERT'S 12TH PROBLEM (1900)
- 18 THE BRUMER-STARK AND GROSS-STARK CONJECTURES
- 19 EXACT FORMULA FOR THE UNITS
- 20 EISENSTEIN MEASURE
- 21 COMPUTATIONAL EXAMPLE
- 22 A LARGER EXAMPLE
- 23 PROOF OF EXACT FORMULA
