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# Daily Archives: August 21, 2013

## Lecture 2: Wednesday, August 21, 2013

Today, we give an overview of Projective Geometry. We define affine -space and projective -space , and spend time discussing the geometry of the projective line . In particular, we discuss the differences when and . Advertisements

Posted in MA 59800
Tagged Affine Line, Affine Space, Equivalence Class, Projective Geometry, Projective Line, Projective Space
2 Comments

## Lecture 1: Monday, August 19, 2013

For the first lecture for the course, I would like to focus on a simple question: Why would anyone care about Dessins d’Enfants anyway? I won’t quite get to answer this question, but I will at least motivate the study … Continue reading

Posted in MA 59800
Tagged Andre Weil, Beal's Conjecture, Belyi Map, Diophantine Equation, Fermat's Last Theorem, Gennadii Vladimirovich Belyi, J-Invariant, Mobius Transformation, Modular Functions, Modular Lambda Function, Pythagorean Triple, Riemann Surface, Riemann-Roch Theorem, Tijdeman-Zagier Conjecture, Transcendental Galois Extension
1 Comment