Ideals and exceptional sets in Polish spaces  04 - 08 June 2018

Organisers

Márton Elekes, Alfréd Rényi Institute of Mathematics

Slawomir Solecki, Cornell University

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
Piotr Borodulin-Nadzieja University of Wroclaw 04/06/2018 - 08/06/2018
Jörg Brendle Kobe University 03/06/2018 - 09/06/2018
Pierre-Emmanuel Caprace Université Catholique de Louvain 28/05/2018 - 24/06/2018
Dario Darji University of Louisville 03/06/2018 - 09/06/2018
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 - 30/06/2018
Barnabas Farkas TU Wien 04/06/2018 - 08/06/2018
Vera Fischer Universität Wien 03/06/2018 - 09/06/2018
Jan Grebik Charles University 04/06/2018 - 08/06/2018
Michael Hrusak Unviersidad Nacional Autónoma de México 01/06/2018 - 15/06/2018
Viktor Kiss Cornell University 03/06/2018 - 09/06/2018
Michał Korch University of Warsaw 04/06/2018 - 08/06/2018
Wieslaw Kubis Institute of Mathematics, Czech Academy of Sciences 03/06/2018 - 09/06/2018
Diego Liberati National research council of Italy 04/06/2018 - 08/06/2018
Andrew Marks University of California 03/06/2018 - 23/06/2018
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
Masato Mimura EPFL 04/06/2018 - 08/06/2018
Donát Nagy Eötvös Loránd University 03/06/2018 - 09/06/2018
Rehana Patel Currently unaffiliated 04/06/2018 - 08/06/2018
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 04/06/2018 - 08/06/2018
Slawomir Solecki Cornell University 01/06/2018 - 30/06/2018
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 - 09/06/2018
Todor Tsankov Université Paris Diderot 03/06/2018 - 24/06/2018
Anush Tserunyan University of Illinois 03/06/2018 - 30/06/2018
Asger Törnquist University of Copenhagen 06/06/2018 - 20/06/2018
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 : 38
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
Vera Fischer Universität Wien 03/06/2018 - 09/06/2018
Michael Hrusak Unviersidad Nacional Autónoma de México 01/06/2018 - 15/06/2018
Viktor Kiss Cornell University 03/06/2018 - 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 - 09/06/2018
Asger Törnquist University of Copenhagen 06/06/2018 - 20/06/2018
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 : 17
Monday 4 June
10:00-11:00 CIB front desk registration
11:00-12:00 Stevo Todorcevic Title of talk 1
12:00-13:30 Lunch break
13:30-14:30 Michael Hrusak Title of talk 2
14:30-15:00 Coffee break
15:00-16:00 Asger Törnquist Title of talk 3

Tuesday 5 June
09:30-10:30 Piotr Zakrzewski Title of talk 4
10:30-11:00 Coffee break
11:00-12:00 Wieslaw Kubis Title of talk 5
12:00-13:30 Lunch break
13:30-14:30 Vera Fischer Title of talk 6
14:30-15:00 Coffee break
15:00-16:00 Udayan Darji Title of talk 7

Wednesday 6 June
09:30-10:30 Jörg Brendle Title of talk 8
10:30-11:00 Coffee break
11:00-12:00 Maya Saran Title of talk 9
Social outing

Thursday 7 June
09:30-10:30 Viktor Kiss Title of talk 10
10:30-11:00 Coffee break
11:00-12:00 Marcin Sabok Title of talk 11
12:00-13:30 Lunch break
13:30-14:30 Dilip Raghavan Title of talk 12
14:30-15:00 Coffee break
15:00-16:00 Etienne Matheron Title of talk 13

Friday 8 June
09:30-10:30 Zoltan Vidnyánszky Title of talk 14
10:30-11:00 Coffee break
11:00-12:00 Juris Steprans Title of talk 15
12:00-13:30 Lunch break
13:30-14:30 Miroslav Zeleny Title of talk 16
14:30-15:00 Coffee break
15:00-16:00 Jindrich Zapletal Title of talk 17