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.
Course | Responsible | credits
|
---|
Preparatory Courses (1st Semester, Facultative programme)
Elementary Algebraic Geometry. | Van Oystaeyen | 4
| Lie Theory. | Le Bruyn | 6
| Representation Theory. | Bocklandt | 4
| Ring Theory. | Van Oystaeyen | 6
|
Main Courses (2nd Semester)
Noncommutative Geometry | Le Bruyn | 4+2
| Hopf Algebras and Quantum Groups | Caenepeel | 4+2
| Derived categories | Van den Bergh | 4+2
| Geometric Invariant Theory | Le Bruyn | 4+2
| Noncommutative Schemes | Van Oystaeyen | 4+2
| Noncommutative Algebra | Van Oystaeyen | 4+2
| |
---|
|
---|
III. Work shops
Two work shops are planned at UA in 2004-2005 :
- In the 1st semester : 3 weeks in November, a workshop in the
Noncommutative Geometry programme of the ESF with cooperation of L.
Kaufman, A. Connes (TBC).
- In the 2nd semester a SOCRATES-intensive programme (IP) for three weeks
in April-May 2005 consisting of six minicourses, series of lectures
delivered by a team of international specialists, this IP is an integral
part of the IAMD programme.
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 :