Title of the course: Affine and projective Planes

Instructor: Prof. Adrien Deloro

Institution: Université Pierre et Marie Curie

Dates: 17-30 July 2017

Prerequisites: High-school geometry, linear algebra, fields, groups

Level: Undergraduate

Abstract: Affine planes are geometric structures which describe points and lines in the usual sense (the "real plane" seen in high school is one such). Projective planes on the other hand add points at infinity. We shall discuss how and why this is done. The class will focus on the possibility to introduce coordinate systems in some of these objects, and on Desargues' Theorem. The topic can be seen both as extremely elementary (points and lines) and deeply algebraic (if one uses the language of group theory).

Language: EN

Instructor: Prof. Adrien Deloro

Institution: Université Pierre et Marie Curie

Dates: 17-30 July 2017

Prerequisites: High-school geometry, linear algebra, fields, groups

Level: Undergraduate

Abstract: Affine planes are geometric structures which describe points and lines in the usual sense (the "real plane" seen in high school is one such). Projective planes on the other hand add points at infinity. We shall discuss how and why this is done. The class will focus on the possibility to introduce coordinate systems in some of these objects, and on Desargues' Theorem. The topic can be seen both as extremely elementary (points and lines) and deeply algebraic (if one uses the language of group theory).

Language: EN