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DTSTART:20240310T070000
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DTSTART;TZID=America/Toronto:20250225T140000
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URL:https://uwaterloo.ca/pure-mathematics/events/logic-seminar-73
SUMMARY:Logic Seminar
CLASS:PUBLIC
DESCRIPTION:CLEMENT YUNG\, UNIVERSITY OF TORONTO\n\nWeak A2 spaces\, the Ka
 stanas game and strategically Ramsey sets\n\nIn the past century\, the ins
 ight behind the original Ramsey's theorem\nproved to be applicable to a wi
 de range of mathematics\, such as number\ntheory\, functional analysis and
  topology. This spurred two particular\ndirections of Ramsey theory: The f
 irst one is known as topological\nRamsey theory\, a general procedure deve
 loped by Todorcevic to prove\nmany seemingly unrelated Ramsey's theorem-li
 ke results. The second one\nis the Ramsey theory of Banach spaces\, kickst
 arted by Gowers' shocking\napplication of Ramsey theory to resolve a long-
 standing open problem\nin Banach space theory. In this talk\, I introduce 
 the theory of weak\nA2 spaces\, which serves as a possible intersection be
 tween these two\nRamsey theories and discuss how several infinite games th
 at appeared\nin these Ramsey theories (the Kastanas game\, the Gowers game
  and the\nasymptotic game) are closely related.\n\nMC 5479
DTSTAMP:20260504T221606Z
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