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BEGIN:VEVENT
UID:/NewsandEvents/Archives/2021/newsitem/12999/28
 ---30-September-2021-Minisymposium-Large-cardinals
 -Virtual-Passau-Austria-
DTSTAMP:20210925T153238
SUMMARY:Minisymposium "Large cardinals", Virtual (
 Passau, Austria)
DTSTART;VALUE=DATE:20210928
DTEND;VALUE=DATE:20210930
LOCATION:Virtual (Passau, Austria)
DESCRIPTION:This minisymposium will be devoted to 
 recent developments in the theory of large cardina
 ls, a central concept of contemporary set theory t
 hat allows the measurement of the consistency stre
 ngth of mathematical theories and the ordering of 
 these theories into a canonical hierarchy. Seminal
  results show that large cardinal assumptions them
 selves answer many important questions left open b
 y the standard axiomatization of set theory and th
 is leads many set theorists to think that these ax
 ioms should be included in the correct axiomatizat
 ion of mathematics. In the last fifty years, set t
 heorists have developed a deep and canonical theor
 y of large cardinals and, in recent years, breakth
 rough results in vastly different regions of the l
 arge cardinal hierarchy were obtained. The talks i
 n our symposium will cover this wide spectrum of r
 esearch, from virtual large cardinal axioms in the
  lower reaches of this hierarchy all the way up to
  axioms of infinity that contradict the Axiom of C
 hoice.
X-ALT-DESC;FMTTYPE=text/html:\n  <p>This minisympo
 sium will be devoted to recent developments in the
  theory of large cardinals, a central concept of c
 ontemporary set theory that allows the measurement
  of the consistency strength of mathematical theor
 ies and the ordering of these theories into a cano
 nical hierarchy. Seminal results show that large c
 ardinal assumptions themselves answer many importa
 nt questions left open by the standard axiomatizat
 ion of set theory and this leads many set theorist
 s to think that these axioms should be included in
  the correct axiomatization of mathematics. In the
  last fifty years, set theorists have developed a 
 deep and canonical theory of large cardinals and, 
 in recent years, breakthrough results in vastly di
 fferent regions of the large cardinal hierarchy we
 re obtained. The talks in our symposium will cover
  this wide spectrum of research, from virtual larg
 e cardinal axioms in the lower reaches of this hie
 rarchy all the way up to axioms of infinity that c
 ontradict the Axiom of Choice.</p>\n
URL:https://www.uni-passau.de/en/dmv-oemg-jahresta
 gung-2021/
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