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DTSTART;TZID=America/Toronto:20251118T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/logic-seminar-83
SUMMARY:Logic Seminar
CLASS:PUBLIC
DESCRIPTION:LIONEL NGUYEN VAN THÉ\, UNIVERSITÉ D'AIX-MARSEILLE\n\n_Revis
 iting the canonical Ramsey theorem for finite vector spaces_\n\nThe infini
 te Ramsey theorem (1931) asserts that for every integer m\,\nif the collec
 tion of all m-subsets of natural numbers is finitely\ncolored\, then there
  exists an infinite subset whose m-subsets are all\nof the same color. Thi
 s result does not hold anymore if the number of\ncolors is not finite\, bu
 t Erdös and Rado (1950) showed that there is\nstill an infinite subset wh
 ere the coloring takes a very particular\nform\, called \"canonical\". Bot
 h of these results admit appropriate\nfinite forms which hold in the conte
 xt of vector spaces instead of\nsets by results of Graham-Leeb-Rothschild 
 (1972) and Voigt (1984). The\npurpose of this talk will be to present a ne
 w approach to this latter\nresult.\n\nMC 5403
DTSTAMP:20260504T111533Z
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