Connes-Consani2008

Oct 13, 2008

noncommutative F_un geometry (1)

Posted by in Connes-Consani2008, research 4 comments

It is perhaps surprising that Alain Connes and Katia Consani, two icons of noncommutative geometry, restrict themselves to define commutative algebraic geometry over the field with one element. Remains the fact that their approach screams for a noncommutative extension.


Oct 10, 2008

Connes-Consani for undergraduates (3)

Posted by in Connes-Consani2008, undergraduate 1 comment

Alain Connes and Katia Consani arXived the paper “On the notion of geometry over F_un” in which they refine and simplify Soule’s approach. This series tries to explain their construction to non-specialists in algebraic geometry.


Oct 8, 2008

Connes-Consani for undergraduates (2)

Posted by in Connes-Consani2008, undergraduate No comments

Alain Connes and Katia Consani arXived the paper “On the notion of geometry over F_un” in which they refine and simplify Soule’s approach. This series tries to explain their construction to non-specialists in algebraic geometry.


Oct 6, 2008

Connes-Consani for undergraduates (1)

Posted by in Connes-Consani2008, featured, undergraduate 8 comments

Alain Connes and Katia Consani arXived the paper “On the notion of geometry over F_un” in which they refine and simplify Soule’s approach. This series tries to explain their construction to non-specialists in algebraic geometry.


Sep 21, 2008

Connes-Consani2008

Posted by in Connes-Consani2008, library No comments

Alain Connes and Caterina Consani : On the notion of geometry over F_un, arXived on September 17th,200b as arXiv:0809.2926