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VERSION:2.0
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SUMMARY:Ideals and exceptional sets in Polish spaces
DTSTART:20180604T090000
DTEND:20180608T170000
DTSTAMP:20260408T055540Z
UID:abc8844c7932eca08431868ec1e2e78e65f8f636e28b3e8e6d05c198
CATEGORIES:Conferences - Seminars
DESCRIPTION:Exceptional sets play an important role in numerous branches o
 f mathematics\, for instance in measure theory\, topology\, harmonic and c
 omplex 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 fr
 om 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 Aronsza
 jn or cube null sets in Banach spaces\, Haar null sets in the sense of Chr
 istensen in Polish groups\, as well as various ideals on the natural numbe
 rs\, for example the sets of zero asymptotic density.\nThese 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.\nTh
 e analysis of exceptional sets naturally leads to problems of descriptive 
 set theoretic nature. On the one hand\, regularity properties of the excep
 tional sets are often handled by methods of descriptive complexity\, and o
 n the other hand\, in the investigation of ideals on the natural numbers t
 he descriptive complexity of the ideal itself plays a central role.\nThe g
 oal of this workshop is to bring together experts from various fields rela
 ted to exceptional sets and discuss the recent developments.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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