Announcement of a WORKSHOP:

Current Research in

Operational Quantum Logic II

Free University of Brussels, Department of Mathematics,

May 17 - May 22, 1999.

We contemplate a five day, intensive workshop devoted to topics of current interest related to operational quantum logic. This year we would like to emphasise:

1) Projections, Enriched Semigroups and Related Categories

2) Symmetries, Induced Representations and Imprimitivities

We plan to have one or two didactic talks a day followed by extensive time for organised discussion. To facilitate interaction and for practical budgetary reasons, we aim to keep the number of participants limited to a maximum of 20. The organizers would like to dedicate this year's workshop to David J. Foulis, president of the International Quantum Structures Association, at the occasion of his retirement in honor of his seminal contributions to our field. The following have confirmed participation beforehand:

Maria-Luisa DALLA CHIARA (University of Florence, Italy), Sylvia PULMANNOVA (Slovak Academy of Sciences, Slovakia), David J. FOULIS (University of Massachusetts, USA), Dick GREECHIE (Louisiana Tech University, USA), John HARDING (New Mexico State University, USA), David J. MOORE, Constantin PIRON (University of Geneva, Switzerland), Mirko NAVARA (Czech Tecnical University, Czech Republic), Jan PASEKA (Masaryk University, Czech Republic), Alex WILCE (Juniata College Pennsylvania, USA), Isar STUBBE (Catholic University of Louvain-La-Neuve, Belgium), Wim CHRISTIAENS (University of Ghent, Belgium), Diederik AERTS, Bob COECKE, Sonja SMETS, Frank VALCKENBORGH (Free University of Brussels), ...

The lectures will be organized in three 40 minute contributions a day, starting at 2 P.M. and lasting approximately until 4.30 P.M., in room G020 on Monday, Tuesday, Wednesday and Friday and in G021 on Thursday, both located in building G at level 1 -accessible via 'Esplanade'. Those interested in contributing or attending should contact one of the following:

Bob Coecke - bocoecke@vub.ac.be; David Moore - moore@sc2a.unige.ch; Alex Wilce - wilce@juniata.edu

FUND-DWIS, Free University of Brussels, Pleinlaan 2, B-1050 Brussels, Belgium;

Tel: ++32/2/629.34.99; Fax: ++32/2/629.34.95

The final program for the lectures will be available at this site, i.e.:

http://www.vub.ac.be/CLEA/BobWS99.html

Some already fixed lectures are:

1. B. Coecke (with D.J. Moore) : Dualities of Quantaloids Describing Propagation of Physical Properties
2. D.J. Foulis : Symmetries, Induced Representations and Imprimitivities I
3. D.J. Foulis : Symmetries, Induced Representations and Imprimitivities II
4. D.J. Foulis : Symmetries, Induced Representations and Imprimitivities III
5. D.J. Foulis : Symmetries, Induced Representations and Imprimitivities IV
6. D. Greechie : title to be announced
7. J. Harding : Boolean Algebras of Decompositions
8. M. Navara (with J. Harding) : The Independence of the Center, State Space and Automorphism Group of Quantum Logics
9. J. Paseka : Algebraic Properties of Quantales and Their Modules
10. C. Piron (Interdisciplinary talk, intended for large audience) : New Aspects in Relativity ---Abstract
11. S. Pulmannova : Ideals and Congruences in Effect Algebras
12. I. Stubbe : A Categorycist's Perspective on Physics
13. F. Valckenborgh : On Products and Coproducts in some Categories of Complete Lattices
14. A. Wilce : Symmetric Test Spaces

*Kluwer Academic Publishers and Prof. A. van der Merwe agree to publish an edited volume of the FUNDAMENTAL THEORIES OF PHYSICS series on 'Current Research in Operational Quantum Logic'. In these sessions the structure and contributions to such a volume can be discussed. The presently proposed table of contents is:

1. The Structure of Tests and Experiments.
2. Algebraical and Syntactical Aspects of Quantum Logic.
3. Projections as Lattices or Enriched Semigroups.
4. Probability, Measures as States and Effects.
5. Symmetries, Induced Representations and Imprimitivities.
6. Categories of Representation of Physical Objects.

Discussion, work sessions, etc., can take place in the above mentioned lecture room (G020/G021) from 10 A.M. to 10 P.M., or in the CLEA-house 24h/24h. As such we invite all participants to be there Monday between 10 A.M. and 12.30 A.M. for initial practical arangements. For any other questions on traveling, lodging, beyond office hours: ++32/2/520.99.29 (Bob).

You might consider the following hotels for lodging -if you contact us we make the necessary steps:

LLOYD GEORGE, 12 Lloyd Georgelaan, 1050 Brussels; Tel: +32-2-648 30 72, Fax: +32-2-646 53 61; ±35 US$ for a single room with breakfast (close to Tram 90 and 23 for going to the VUB --- or a 20 minute walk; this link gives a local sketch).

SUN HOTEL**, 38 Herdersstraat, 1050 Brussels; Tel: +32-2-511 21 19, Fax: +32-2-512 32 71; ±46 US$ for a single room with breakfast (close to Metro Station Naamse Poort/Porte Namur; Metro Map --- the University Campus is indicated by the shield on the map; this link gives a local sketch).

Other Hotels can be found at this link.

Alternative lodging fascilities are located at (i) CLEA-house, Krijgskundestraat/Rue de la Strategie 33, 1160 Audergem; (ii) Brassinelaan residences (rooms 2 and 3); both are located in the University Campus area.

For traveling form the airport to one of these hotels or the university area one first takes Airport-Express train. In case of the Sun Hotel and University Campus one gets off at the Central Station (Gare Centrale/Centraal Station) and take there the metro, respectively to Metro Station Naamse Poort/Porte Namur and Petillon. In case of the Loyd George Hotel one gets off at the North Station (Gare du Nord/ Noordstation) and takes then Tram 90.

The workshop is supported by:

"FWO Research Network WO.011.96N",

"Interdisciplinary Research Center CLEA".

Updated 12/5/99