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Minisymposium "Large cardinals", Virtual, 28 & 30 Sep 2021

Minisymposium "Large cardinals" at the Joint Annual Conference of the 
German Mathematical Society and the Austrian Mathematical Society

28.+30. September 2021 (online)

TALKS:

Tuesday, September 28

16:30-17:00 Gunter Fuchs (New York): "Spread out sets and the subcomplete 
fragment of SRP?.

17:00-17:30 Alejandro Poveda (Jerusalem):  "Ordinal Definable Sets and the 
failure of the SCH?.

17:30-18:00 Victoria Gitman (New York): "Indestructibility for Ramsey 
cardinals?.

Thursday, September 30

15:00-16:00 Yair Hayut (Jerusalem): "Killing softly a stationary set?.

16:30-17:00 Sarka Stejskalova (Prague): "Aronszajn trees and stationary 
reflection?.

17:00-17:30 Vincenzo Dimonte (Udine): ?The \lambda-Perfect Set Property, 
for \lambda singular?.

17:30-18:00 Benjamin Siskind (Pittsburgh): "The uniqueness of the core 
model?.


DESCRIPTION:

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.


SUPPORT:

This minisymposium is supported by the Deutsche Vereinigung für 
Mathematische Logik und für Grundlagenforschung der Exakten Wissenschaften 
(DVMLG).


ORGANIZERS:

Philipp Luecke (Barcelona)
Sandra Mueller (Wien)


CONFERENCE WEBPAGE & REGISTRATION:

www.uni-passau.de/en/dmv-oemg-jahrestagung-2021/home/
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