Minisymposium "Large cardinals" at the DMV-OeMG Annual Conference 2021, 28.+30. September 2021 (online).

[Philipp Lücke]

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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