Exceptional sets play an important role in numerous branches of mathematics, for instance in measure theory, topology, harmonic and complex analysis, Banach space theory, algebraic geometry, combinatorics, probability and ergodic theory, set theory and descriptive set theory, just to mention a few. Exceptional sets describe notions of smallness from various points of view, some notable examples are the countable sets, null sets of a measure, meager sets, sets of zero analytic capacity in complex analysis, non-stationary sets in set theory, Gaussian or Aronszajn or cube null sets in Banach spaces, Haar null sets in the sense of Christensen in Polish groups, as well as various ideals on the natural numbers, for example the sets of zero asymptotic density.
These notions have numerous applications to all the areas mentioned above, as well as to the structure of Polish groups and to the theory of Polish group actions.
The analysis of exceptional sets naturally leads to problems of descriptive set theoretic nature. On the one hand, regularity properties of the exceptional sets are often handled by methods of descriptive complexity, and on the other hand, in the investigation of ideals on the natural numbers the descriptive complexity of the ideal itself plays a central role.
The goal of this workshop is to bring together experts from various fields related to exceptional sets and discuss the recent developments.
Name |
University |
Dates of visit |
Dana Bartosova
|
Carnegie Mellon University
|
01/06/2018 - 30/06/2018
|
Gianluca Basso
|
Université de Lausanne, Università di Torino
|
04/06/2018 - 08/06/2018
|
Piotr Borodulin-Nadzieja
|
University of Wroclaw
|
02/06/2018 - 09/06/2018
|
Jörg Brendle
|
Kobe University
|
03/06/2018 - 09/06/2018
|
Pierre-Emmanuel Caprace
|
Université Catholique de Louvain, Institut de Recherche en Mathématiques et Physique (IRMP)
|
28/05/2018 - 24/06/2018
|
Dario Darji
|
University of Louisville
|
03/06/2018 - 09/06/2018
|
Pierre De La Harpe
|
Université de Genève
|
04/06/2018 - 08/06/2018
|
Gabriel Debs
|
Institut de Mathématiques de Jussieu, Paris Rive Gauche
|
03/06/2018 - 08/06/2018
|
Longyun Ding
|
Nankai University
|
04/06/2018 - 08/06/2018
|
Márton Elekes
|
Alfréd Rényi Institute of Mathematics
|
03/06/2018 - 29/06/2018
|
Barnabas Farkas
|
TU Wien
|
04/06/2018 - 08/06/2018
|
Jan Grebik
|
Charles University
|
04/06/2018 - 08/06/2018
|
Michael Hrusak
|
Unviersidad Nacional Autónoma de México
|
02/06/2018 - 14/06/2018
|
Viktor Kiss
|
MTA Rényi Institute
|
02/06/2018 - 09/06/2018
|
Michał Korch
|
University of Warsaw
|
02/06/2018 - 08/06/2018
|
Wieslaw Kubis
|
Institute of Mathematics, Czech Academy of Sciences
|
03/06/2018 - 09/06/2018
|
Etienne Matheron
|
Université d'Artois
|
03/06/2018 - 09/06/2018
|
Heike Mildenberger
|
Albert-Ludwigs-Universitaet Freiburg im Breisgau
|
04/06/2018 - 08/06/2018
|
Donát Nagy
|
Eötvös Loránd University
|
03/06/2018 - 09/06/2018
|
Márk Poór
|
Eötvös Loránd University
|
04/06/2018 - 08/06/2018
|
Vibeke Quorning
|
University of Copenhagen
|
03/06/2018 - 30/06/2018
|
Dilip Raghavan
|
National University of Singapore
|
04/06/2018 - 09/06/2018
|
Marcin Sabok
|
McGill University
|
05/06/2018 - 22/06/2018
|
Maya Saran
|
Ashoka University
|
03/06/2018 - 09/06/2018
|
Jonathan Schilhan
|
University of Vienna
|
03/06/2018 - 08/06/2018
|
Slawomir Solecki
|
Cornell University
|
01/06/2018 - 29/06/2018
|
Juris Steprans
|
York University
|
03/06/2018 - 09/06/2018
|
Stevo Todorcevic
|
University of Toronto, CNRS, Institut de Mathématiques de Jussieu-PRG
|
03/06/2018 - 08/06/2018
|
Anush Tserunyan
|
University of Illinois
|
02/06/2018 - 30/06/2018
|
Asger Törnquist
|
University of Copenhagen
|
03/06/2018 - 14/06/2018
|
Zoltan Vidnyánszky
|
Universität Wien
|
03/06/2018 - 09/06/2018
|
Piotr Zakrzewski
|
Warsaw University
|
03/06/2018 - 09/06/2018
|
Jindrich Zapletal
|
University of Florida
|
03/06/2018 - 23/06/2018
|
Miroslav Zeleny
|
Charles University
|
03/06/2018 - 09/06/2018
|
Total Guests : 34
Name |
University |
Dates of visit |
Jörg Brendle
|
Kobe University
|
03/06/2018 - 09/06/2018
|
Dario Darji
|
University of Louisville
|
03/06/2018 - 09/06/2018
|
Michael Hrusak
|
Unviersidad Nacional Autónoma de México
|
02/06/2018 - 14/06/2018
|
Viktor Kiss
|
MTA Rényi Institute
|
02/06/2018 - 09/06/2018
|
Wieslaw Kubis
|
Institute of Mathematics, Czech Academy of Sciences
|
03/06/2018 - 09/06/2018
|
Etienne Matheron
|
Université d'Artois
|
03/06/2018 - 09/06/2018
|
Dilip Raghavan
|
National University of Singapore
|
04/06/2018 - 09/06/2018
|
Marcin Sabok
|
McGill University
|
05/06/2018 - 22/06/2018
|
Maya Saran
|
Ashoka University
|
03/06/2018 - 09/06/2018
|
Juris Steprans
|
York University
|
03/06/2018 - 09/06/2018
|
Stevo Todorcevic
|
University of Toronto, CNRS, Institut de Mathématiques de Jussieu-PRG
|
03/06/2018 - 08/06/2018
|
Asger Törnquist
|
University of Copenhagen
|
03/06/2018 - 14/06/2018
|
Zoltan Vidnyánszky
|
Universität Wien
|
03/06/2018 - 09/06/2018
|
Piotr Zakrzewski
|
Warsaw University
|
03/06/2018 - 09/06/2018
|
Jindrich Zapletal
|
University of Florida
|
03/06/2018 - 23/06/2018
|
Miroslav Zeleny
|
Charles University
|
03/06/2018 - 09/06/2018
|
Total Guests : 16
Conference in Honor of the 70th Birthday of Tudor Ratiu, 20 to 24 July 2020.
Registration fees of CHF 50.- are mandatory for visits from 1 day to full attendance of the conference.
Cancellations and no-shows are not eligible for a refund.
I hereby agree to the conditions of the registration fees and to settling the amount by 28 February 2020.
Monday 4 June |
10:00-11:00 |
CIB front desk registration |
|
11:00-12:00 |
Stevo Todorcevic |
Tukey theory of topological directed orders Slides
|
12:00-13:30 |
Lunch break |
|
13:30-14:30 |
Michael Hrusak |
Cardinal invariants related to some uniform properties of metric spaces Slides
|
14:30-15:00 |
Coffee break |
|
15:00-16:00 |
Asger Törnquist |
Un-definability of mad families relative to a class of Borel ideals
|
Tuesday 5 June |
09:30-10:30 |
Piotr Zakrzewski |
On Borel maps, calibrated σ-ideals and homogeneity. Slides
|
10:30-11:00 |
Coffee break |
|
11:00-12:00 |
Wieslaw Kubis |
Small Borel sets in the plane
|
12:00-13:30 |
Lunch break |
|
13:30-14:30 |
Zoltan Vidnyánszky
|
Borel chromatic numbers: basis and antibasis results
|
14:30-15:00 |
Coffee break |
|
15:00-16:00 |
Udayan Darji |
Nonsingular odometers
|
Wednesday 6 June |
09:30-10:30 |
Jörg Brendle |
Definability of maximal independent families Slides
|
10:30-11:00 |
Coffee break |
|
11:00-12:00 |
Maya Saran |
Gδ sets in σ-ideals generated by compact sets Slides
|
Thursday 7 June |
09:30-10:30 |
Viktor Kiss |
Random elements of non-locally compact Polish groups Slides
|
10:30-11:00 |
Coffee break |
|
11:00-12:00 |
Marcin Sabok |
The Hrushovski property for hypertournaments and profinite topologies
|
12:00-13:30 |
Lunch break |
|
13:30-14:30 |
Dilip Raghavan |
Proof of a conjecture of Galvin
|
14:30-15:00 |
Coffee break |
|
15:00-16:00 |
Etienne Matheron |
Small subsets of the circle and ergodicity properties of linear operators
|
Friday 8 June |
09:30-10:30 |
Jindrich Zapletal
|
Hypergraphs and proper forcing
|
10:30-11:00 |
Coffee break |
|
11:00-12:00 |
Juris Steprans |
Actions of Groups with Polynomial Growth in the Cohen Model (with Damjan Kalajdzievski)
|
12:00-13:30 |
Lunch break |
|
13:30-14:30 |
Miroslav Zeleny |
Infinite games and sigma-ideals of sigma-porous type
|
14:30-15:00 |
Coffee break |
|