Archive for December, 2010

IV.6 Algebraic Topology by Burt Totaro, Homotopy Groups: Page 385.

Sunday, December 12th, 2010

Algebraic Topology by Burt Totaro.

Homotopy groups.

IV.6 Algebraic Topology by Burt Totaro, Introduction and Connectedness and Intersection Numbers: Pages 383 – 384.

Saturday, December 11th, 2010

Algebraic Topology by Burt Totaro.

Introduction.

Connectedness and intersection numbers.

IV.5 Arithmetic Geometry by Jordan S. Ellenberg, Some Problems in Classical and Contemporary Arithmatic Geometry: Pages 380 – 382.

Friday, December 10th, 2010

Arithmetic Geometry by Jordan S. Ellenberg.

Some Problems in Classical and Contemporary Arithmetic Geometry.

From Fermat to Birch-Swinnerton.

Outline of Fermat’s last theorem.

Rational points on Curves.

IV.5 Arithmetic Geometry by Jordan S. Ellenberg, How Many Points Does a Circle Have?: Page 379.

Thursday, December 9th, 2010

Arithmetic Geometry by Jordan S. Ellenberg.

How many points does a circle have?

IV.5 Arithmetic Geometry by Jordan S. Ellenberg, From Varieties to Rings to Schemes, Schemes, Example: Spec Z, the Number Line: Pages 377 – 378.

Wednesday, December 8th, 2010

Arithmetic Geometry by Jordan S. Ellenberg.

From varieties to rings to schemes.

Schemes.

Example: Spec Z, the number line.

IV.5 Arithmetic Geometry by Jordan S. Ellenberg, From Varieties to Rings to Schemes, Coordinate Rings: Page 376.

Tuesday, December 7th, 2010

Arithmetic Geometry by Jordan S. Ellenberg.

From varieties to rings to schemes.

Coordinate rings.

IV.5 Arithmetic Geometry by Jordan S. Ellenberg, From Varieties to Rings to Schemes, Adjectives and Qualities: Page 375.

Monday, December 6th, 2010

Arithmetic Geometry by Jordan S. Ellenberg.

From varieties to rings to schemes.

Adjectives and qualities.

IV.5 Arithmetic Geometry by Jordan S. Ellenberg, Geometry without Geometry: Pages 373 – 374.

Sunday, December 5th, 2010

Arithmetic Geometry by Jordan S. Ellenberg.

Geometry without geometry.

IV.4 Algebraic Geometry by Janos Kollar, Modulii Spaces and Effective Nullstellensatz, So, What is Algebraic Geometry and IV.5 Arithmetic Geometry by Jordan S. Ellenberg, Diophantine Problems, Alone and In Teams: Pages 371 – 373.

Saturday, December 4th, 2010

Algebraic Geometry by Janos Kollar.

Modulii Spaces.

Modulii of elliptic curves.

Modulii principle.

Effective nullstellensatz.

So, What is algebraic geometry?

Arithmetic Geometry by Jordan S. Ellenberg.

Diophantine problems, alone and in teams.

IV.4 Algebraic Geometry by Janos Kollar, Modulii Spaces: Page 371.

Friday, December 3rd, 2010

Algebraic Geometry by Janos Kollar.

Modulii Spaces.