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UID:490ba22480e0bcfd7f00bdc67ac291d1
CATEGORIES:Special Colloquium
CREATED:20211206T100258
SUMMARY:Infinite cardinals and combinatorial principles
LOCATION:Zoom
DESCRIPTION:<p>Abstract: Konig's Lemma states that a countably infinite,finitely branch
 ing tree has an infinite branch.It is natural to ask whether the analogous 
 result holds for trees of uncountable height. <br />In 1934, Aronszajn prov
 ed that this result fails for trees of height $\aleph_1$. On the other hand
 , this question for trees of height $\kappa \geq \aleph_2$ is intimately co
 nnected with fundamental questions concerning cardinal arithmetic and the e
 xistence of large cardinals. I will explain this in this talk, and then I w
 ill go over recent results about combinatorial principles and cardinal arit
 hmetic.</p>
CONTACT:Dima Sinapova, University of Illinois at Chicago 
DTSTAMP:20260828T140743
DTSTART;TZID=America/New_York:20211210T130000
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