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UID:2ae077ac512b51f82c6b6376bc86883a
CATEGORIES:Graduate Student Combinatorics Seminar Sponsored by DIMACS
CREATED:20250207T143837
SUMMARY:Ramsey Theory on Infinite Linear Orders
LOCATION:HLL-701
DESCRIPTION:
CONTACT:Max Aires
X-EXTRAINFO:Abstract: Everyone knows (hopefully) Ramsey's Theorem that 2-colorings of i
 nfinite graphs contain monochromatic subsets. In this talk, we investigate 
 generalizations of this fact to general linear orders. We first discuss ope
 rations on linear orders, in particular generalizing general arithmetic (an
 d ordinal arithmetic) to the larger class of all linear orders. Now define 
 alpha->(beta, gamma)^2 as the property that all 2-colorings of graphs on
  (an order) alpha contain a 0-monochromatic beta or a 1-monochromatic beta.
  We shall investigate this property and see a number or positive and negati
 ve results.
DTSTAMP:20260827T192506
DTSTART;TZID=America/New_York:20250212T121500
DTEND;TZID=America/New_York:20250212T131500
SEQUENCE:0
TRANSP:OPAQUE
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