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SUMMARY:Curial Gallart Rodriguez (UEA)
DTSTART:20240514T130000Z
DTEND:20240514T140000Z
DTSTAMP:20260421T153913Z
UID:UEAPS/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/29/">C
 urrent trends in set theory</a>\nby Curial Gallart Rodriguez (UEA) as part
  of ANTLR seminar\n\nLecture held in SCI 3.05.\n\nAbstract\nNot all questi
 ons in mathematics can be answered in ZFC by Gödel's incompleteness theor
 ems. Numerous concrete examples of mathematical statements have been prove
 n to be independent from the ZFC axioms over the years. Many of them being
  non-set-theoretic in nature. Most notably\, the Whitehead problem\, the B
 orel conjecture\, Kaplansky's conjecture on Banach algebras\, or the Brown
 -Douglas-Fillmore problem. Instead of accepting that there are questions t
 hat don't have an answer\, the independence phenomenon lead set theorists 
 to search for axioms beyond ZFC that would give us a clearer picture of th
 e set theoretic (and mathematical) universe.\n\nIn this talk I will presen
 t the main lineages of axioms that have been considered and their conseque
 nces. I will describe their connections and the main methods to study them
 \, and I will finish by connecting all of this with my PhD thesis.\n
LOCATION:https://researchseminars.org/talk/UEAPS/29/
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