International Advanced Master Degree Noncommutative Algebra and Geometry

University of Antwerp 2004-2005

Dept. of Mathematics & Computer Science
PAVO Post Academic Education Programme

I. Introduction

The international advanced master degree programme originates from Scientific Programme of the European Science Foundation on the subject of Noncommutative Geometry. Now the programme continues with cooperation of international specialists drawn from a consortium of sixteen European universities. Composition of the international staff is variable over the years but the orientation of the programme's courses is globally fixed in the direction of noncommutative algebra and its applications. The programme is a full year programme consisting of six main courses of six study points (credits) each, composed as four credits theoretical course plus two credits practical sessions or project work. These main courses will be taught between February 15th and June 30th 2005; in the first semester four preparatory courses totalling twenty credits are made available for students wanting to acquire the necessary preknowledge. Those preparatory courses are on the level of normal master courses; these credits are facultative for IAMD students.

In order to obtain the IAMD-certificate the students have to finish a master-thesis, its weight in the programme is twenty-four credits. The total number of credits for the IAMD is sixty, plus twenty for those choosing to attend the preliminary programme in the first semester.

II. Courses

For every course a local responsible is mentioned, however parts of these courses are taught by members of the international team. For 2004-2005 the following have been invited, among others: C. Procesi, C. De Concini, A. Joseph, P. Littelman, M. Van den Bergh, S. Caenepeel, S. Majid, J. Alev, B. Keller, C. Kassel, C. Ringel. T. Lenagan, A. Rudakov,

The UA-group includes : F. Van Oystaeyen, L. Le Bruyn, R. Bocklandt, G.Van de Weyer.

CourseResponsible credits
Preparatory Courses (1st Semester, Facultative programme)
Elementary Algebraic Geometry. Van Oystaeyen 4
Lie Theory. Le Bruyn 6
Representation Theory. Bocklandt4
Ring Theory. Van Oystaeyen        6
Main Courses (2nd Semester)
Noncommutative Geometry Le Bruyn 4+2
Hopf Algebras and Quantum Groups Caenepeel4+2
Derived categories Van den Bergh4+2
Geometric Invariant Theory Le Bruyn4+2
Noncommutative Schemes Van Oystaeyen4+2
Noncommutative Algebra Van Oystaeyen4+2

III. Work shops

Two work shops are planned at UA in 2004-2005 :

IV. Connection to Projects, Grants and Research Grants

For the participation in the IAMD three student grants (5 months at 500 euro per month) are available. Application for such a grant via F. Van Oystaeyen (e-mail address : fred.vanoystaeyen@ua.ac.be) before August 30th. The IAMD-programme is connected to activities of the "Liegrits"-network, an E.C.-project in the RTN-strand of FP6; students finishing the IAMD are encouraged to apply for a research grant in the "Liegrits"-project (deadlines in February and June 2005) via either F. Van Oystaeyen or Anna Melnikov (anna@wisdom.weizmann.ac.il). Such a research grant (maximal 30 months) would allow the preparation of a Ph. D. thesis in the network.
Further Information and registration :