Tag: geometry

  • 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 master-class on non-commutative geometry. I\’m still doubting whether it is worth TeXing my handwritten notes. Anyway, here is what I will cover tomorrow : – Examples of l-algebras (btw. l is an arbitrary field) : matrix-algebras, group-algebras lG of finite groups, polynomial algebras, free…

  • Brauer’s forgotten group

    Non-commutative 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 non-commutative curves. I do have a conjecture that any non-commutative curve can (up to non-commutative 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 non-commutative geometry. It is likely that the program will still undergo changes as at the moment I included only the mini-courses 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 top-class mathematician. If you allow yourself to be impressed, read his proof of the Artin-Procesi theorem. Bill was also among the first to take non-commutative geometry seriously. Together with Mike Artin he investigated a notion of non-commutative integral extensions and he was the first to…

  • NOG master class

    Yesterday I made reservations for lecture rooms to run the master class on non-commutative geometry sponsored by the ESF-NOG 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 : non-commutative geometry and projects in non-commutative geometry…

  • antwerp sprouts

    The game of sprouts is a two-person 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 web-server www.matrix.ua.ac.be integrated in our home-network as an external WebDAV-server (similar to the .Mac-service offered by Apple). But as this server runs all information about the master-class on non-comutative geometry connecting to it via HTTP to use WebDAV is too great of a security risk as all…

  • one week blogging

    So far I found it rather easy to post one or more messages a day as I was installing a lot of software or trying to get things working and was merely logging my progress for future reference. These notes are useful to me but probably not to the rest of the world. Another thing…