• general description (also available as Postscript)
  
• detailed information
• January-July 1999
• September-October 2000

General description.
The Functional Analysis Group of the Mathematical Department at the Johannes Kepler University organised a research semester at the Erwin Schroedinger Institute in Vienna (ESI) during the period from Jan. 1st to July 31st, 1999 on the topics: operator algebras, convexity, complex function theory (with emphasis on the functional analytic aspects) with a follow on programme on Geometric functional analysis in Semptember and October 2000.

The idea of the research semesters is to provide a forum for senior researchers and young mathematicians to interreact, continue existing scientific projects or instigate new ones. In the case of the above semester this was enhanced by three international colloquia in Upper Austria.

The scientific results of the research semester are the main contents of this CD Rom which contains 45 preprints documenting the research carrierd out in the course of the seminar. Most of these will appear in core mathematical journals, indeed many already have.

The participants in the semester were leading researchers in analysis whose work has had a decisive influence on the development of their subjects.

A total of 132 mathematicians from the following countries took part: Austria, Germany, Swiss, France, Great Britain, Ireland, Denmark, Sweden, Norway, Italy, Spain, Greek, Russia, Poland, Czech Republic, Slovakia, Hungary, Japan, USA, Canada, Israel and India.

The research semester was supported financially from the budget of the Schroedinger institute. This was used to finance the living costs of most of the foreign participants. Further financial support was provided by the International Mathematical Union, the Austrian Mathematical Union, the Government of Upper Austria, the City Council of Linz, the Linzer Hochschulfonds, VOEST-ALPINE Industrieanlagenbau GmbH and the Johannes Kepler University of Linz. This covered the costs of the three international colloquia and the organisers' living costs in Vienna.

• Research Semester January-July 1999.
  • List of participants
    • Operator Algebras (January-February 99)
    • Convexity (March-April 99)
    • Complex Function Theory and Functional Analysis (May-July 99)
  • List of talks
  • International Colloquium on Operator Algebras, Landschloß Ort, February 12 - 14, 1999. List of Participants
  • International Colloquium on Convexity Schloß Weinberg, Kefermarkt, April 9 - 11, 1999. List of Participants
  • International Colloquium on Function Theory and Functional Analysis, Bundesinstitut für Erwachsenenbildung St. Wolfgang, Strobl June 3 - 5, 1999. List of Participants
• Geometrical functional analysis, September-October 2000
  • List of participants
  • List of talks

1. Dan Amir, Tel Aviv University: `` Convexity of Chebyshev sets in Hilbert space''
2. Theodor Banica, Université Aix-Marseille II: `` Fusion rules for compact quantum groups - a survey''
3. -- `` Subfactors and compact quantum groups''
4. Frank Barthe, Université de Marne-la-Valleé: `` Extremal property of the mean width of the simplex''
5. Philippe Biane, Ecole Normale Superieure Paris: `` Fluctuation of random matrices''
6. Ilia Binder, IAS Princeton: `` Conformal geometry of plane domains''
7. Marek Bozejko, Wroclaw University: `` Second quantization, strong Sobolev inequality and geometry of Coxeter groups''
8. -- `` Second quantization and Ornstein-Uhlenbeck semigroup''
9. -- `` Positive definite functions on groups and new convolutions of probability measures on the real line, 2 parts''
10. Marie Choda, Osaka Kyoiku University: `` Application of topological entropy on C*-algebras''
11. Guy David, Université de Paris Sud Orsay: `` Monotonicity formulae for the Mumford-Shah functional''
12. Ken Dykema, Odense University: `` Topological entropy of some automorphisms on free product C*-algebras''
13. -- `` Exactness of reduced amalgamated free product C*-algebras''
14. George A. Elliot, The Fields Institute Toronto: `` Recent progress in the classification of C*-algebras''
15. Apostolos A. Giannopoulos, University of Crete: `` Applications of the Brascamp-Lieb inequality to convex geometry''
16. Nassif Ghoussoub, University of British Columbia: `` Variational principles and De Giorgi's conjecture''
17. Victor Havin, McGill University Montreal, St. Petersburg State University: `` On the uncertainty principle for the M. Riesz potentials''
18. Håkan Hedenmalm, University of Lund: `` An Hadamard maximum principle for biharmonic operators in hyperbolic spaces''
19. Fumio Hiai, Ibaraki University: `` Maximizing free entropy''
20. William B. Johnson, Texas A&M University: `` The non-linear theory of Banach spaces''
21. Peter W. Jones, Yale University: `` Cauchy transforms of measures''
22. Jay Jorgenson, City College of New York: `` Spectral asymptotics on sequences of hyperbolic manifolds of dimension two and three''
23. Netz Katz, University of Illinois at Chicago: `` Recent progress on the Kakeya problem
24. Bernd Kircheim, Max-Planck-Institut Leipzig: `` Metric currents''
25. Sergei Kislyakov, St. Petersburg State University: `` Bourgain projection and partial retractions for weighted Hardy spaces''
26. Roberto Longo, Universita di Roma `` Tor Vergata'': `` Towards a quantum index theory (for superselection sectors)''
27. Nikolai Makarov, Caltech Pasadena: `` Tower construction in complex dynamics''
28. Vitali Milman, Tel Aviv University: `` Application of isotropic positions and concetration phenomenon withou metric''
29. -- `` Isotropy in geometric functional analysis''
30. Wojciech Mlotkowski, Wroclaw University: `` Motzkin paths and linearization coefficients for orthogonal polynomials''
31. Alexandru Nica, University of Waterloo: `` Applications of the multivariable R-transform in free probability''
32. Alexander Olevskii, Tel Aviv University: `` Almost integer spectra: Translations, Approximations, Expansions''
33. Alain Pajor, Université de Marne-la-Valleé: `` On the flatness problem''
34. Aleksander Pelczynski, Polish Academy of Sciences: `` Translation invariant L¹ spaces and cosidon sets''
35. Dénes Petz, Technical University Budapest: `` Large Deviation results for the empirical eigenvalue distribution of random matrices''
36. Gilles Pisier, Université de Paris VI: `` Dimilarity degree and random matrices''
37. Alexei Poltoratski, Texas A&M University: `` Maximal properties of the Cauchy transform''
38. -- Relative convergence of Poisson and conjugate Poisson intergrals''
39. Florin Radulescu, University of Iowa: `` On generation properties of II₁-factors; on Conne's conjecture''
40. Shlomo Reisner, University Haifa: `` Some computations involving approximaltion by polytopes''
41. Thomas Schlumprecht, Texas A&M University: `` An analytic proof of the Busemann-Petty theorem''
42. Rolf Schneider, Universität Freiburg: `` Mixed functionals of convex bodies''
43. Carsten Schütt, Christian-Albrechts-Universität Kiel: `` Random Polytopes''
44. Dimitri Shlyahtenko, UCLA Los Angeles: `` Maximation questions on free entropy''
45. -- `` Poisson geometry and von Neumann algebras''
46. Stanislav Smirnov, Yale University: `` Dimension of quasicircles and multifractal spectra''
47. -- Removable sets for Sobolev spaces and conformal maps''
48. Roland Speicher, Universität Heidelberg: `` Free cumulants with products as arguments and applications to R-diagonal elements''
49. Erling Størmer, University of Oslo: `` Survey on entropy in finite von Neumann algebras''
50. -- `` Entropy of automorphisms of finite on von Neumann algebras and relative entropy''
51. Christoph Thiele, UCLA Los Angeles: `` On multilinear singular integrals''
52. Sergei Treil, Michigan State University: `` Singular integrals and a problem in robust control''
53. Joan Verdera, Universitat Autonome de Barcelona: ``L² boundednes of the Cauchy integral via Menger curvature''
54. Dan Voiculescu, University of California at Berkeley: `` Liberation and mutual free information''
55. -- `` Free harmonic analysis on R''
56. Alexander Volberg, Michigan State University: `` Logarithmic estimates for vector Hankel operators and paraproducts''
57. Elisabeth Werner, Case Western Reserve University: `` Regularization of the coulomb potential $\frac 1{(x)}$ using Gaussian integrals''
58. Michal Wojciechowski, Polish Academy of Sciences: `` A new class of Fourier multipliers on Hardy spaces''
59. Przemyslaw Wojtaszczyk, Warsaw University: `` New examples of analytic functions on the unit ball''
60. Peter Yuditskii, Johannes Kepler Universität Linz: `` A special case of de Branges' theorem on monodromy matrix''
61. Noriko Yui, Quenn's University Ontario: `` The modularity conjecture for rigid Calabi-Yau threefolds''

1. Frank Barthe Université de Marne-la-Vallée: `` Isoperimetric problems from probability''
2. Joe Diestel, Kent University: `` The Résumé: some things Grothendieck said and some he did NOT''
3. Petr Holický, Charles University Prague: `` A remark on absolutely convergent Fourier series''
4. Bernd Kirchheim, Max-Planck-Institut Leipzig: `` Convexity notions in the calculus of variations and the two well problem''
5. Piotr Mankiewicz, Polish Academy of Science Warsaw: `` On the geometry of random sections of symmetric convex bodies in R^m''
6. Eva Matoušková, Czech Academy of Science Prague: `` Translating finite sets into convex sets''
7. Alain Pajor, Univeristé de Marne-la-Vallée: `` On the slicing problem''
8. Shlomo Reisner, University of Haifa: `` Efficient algorithms for the approximation of convex bodies by convex polytopes''
9. Carsten Schütt, Universität Kiel: `` Best and random approximation of convex bodies by polytopes''
10. Barry Turett, Oakland University: `` The fixed point property for subsets of some classical Banach spaces''
11. Elisabeth Werner, Case Western Reserve University Cleveland: `` Completely positive unital maps''
12. Ludek Zajícek, Charles University Prague: `` Functions which are differences of two convex functions (d.c. functions) and d.c. mappings between Banach spaces''