
noncommutative geometry 2
Again I spend the whole morning preparing my talks for tomorrow in the master class. Here is an outline of what I will cover : – examples of noncommutative points and curves. Grothendieck’s characterization of commutative regular algebras by the lifting property and a proof that this lifting property in the category alg of all […]

noncommutative geometry
Today I did prepare my lectures for tomorrow for the NOG masterclass on noncommutative geometry. I\’m still doubting whether it is worth TeXing my handwritten notes. Anyway, here is what I will cover tomorrow : – Examples of lalgebras (btw. l is an arbitrary field) : matrixalgebras, groupalgebras lG of finite groups, polynomial algebras, free…

Brauer’s forgotten group
Noncommutative geometry seems pretty trivial compared to commutative geometry : there are just two types of manifolds, points and curves. However, nobody knows how to start classifying these noncommutative curves. I do have a conjecture that any noncommutative curve can (up to noncommutative birationality) be constructed from hereditary orders over commutative curves by universal methods…

NOG master class update
Yesterday I made a preliminary program for the first two months of the masterclass noncommutative geometry. It is likely that the program will still undergo changes as at the moment I included only the minicourses given by Bernhard Keller and Markus Reineke but several other people have already agreed to come and give a talk.…

Bill Schelter’s Maxima
Bill Schelter was a remarkable man. First, he was a topclass mathematician. If you allow yourself to be impressed, read his proof of the ArtinProcesi theorem. Bill was also among the first to take noncommutative geometry seriously. Together with Mike Artin he investigated a notion of noncommutative integral extensions and he was the first to…

NOG master class
Yesterday I made reservations for lecture rooms to run the master class on noncommutative geometry sponsored by the ESFNOG project. We have a lecture room on monday and wednesday afternoon and friday the whole day which should be enough. I will run two courses in the program : noncommutative geometry and projects in noncommutative geometry…

antwerp sprouts
The game of sprouts is a twoperson game invented by John Conway and Michael Paterson in 1967 (for some historical comments visit the encyclopedia). You just need pen and paper to play it. Here are the rules : Two players, Left and Right, alternate moves until no more moves are possible. In the normal game,…

SSL on Mac OSX
A longer term project is to get the webserver www.matrix.ua.ac.be integrated in our homenetwork as an external WebDAVserver (similar to the .Macservice offered by Apple). But as this server runs all information about the masterclass on noncomutative geometry connecting to it via HTTP to use WebDAV is too great of a security risk as all…