News and Events: Conferences

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28 - 30 September 2021, Minisymposium "Large cardinals", Virtual (Passau, Austria)

Date: 28 - 30 September 2021
Location: Virtual (Passau, Austria)

This minisymposium will be devoted to recent developments in the theory of large cardinals, a central concept of contemporary set theory that allows the measurement of the consistency strength of mathematical theories and the ordering of these theories into a canonical hierarchy. Seminal results show that large cardinal assumptions themselves answer many important questions left open by the standard axiomatization of set theory and this leads many set theorists 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 different regions of the large cardinal hierarchy were obtained. The talks in our symposium will cover this wide spectrum of research, 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 Choice.

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