BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//jEvents 2.0 for Joomla//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:STANDARD
DTSTART:20210220T140000
RDATE:20210314T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20211107T010000
RDATE:20220313T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20221106T010000
RDATE:20230312T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20231105T010000
RDATE:20240310T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20241103T010000
RDATE:20250309T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20251102T010000
RDATE:20260308T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20261101T010000
RDATE:20270314T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20271107T010000
RDATE:20280312T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20281105T010000
RDATE:20290311T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:20210314T030000
RDATE:20211107T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20220313T030000
RDATE:20221106T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20230312T030000
RDATE:20231105T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20240310T030000
RDATE:20241103T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20250309T030000
RDATE:20251102T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20260308T030000
RDATE:20261101T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20270314T030000
RDATE:20271107T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20280312T030000
RDATE:20281105T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
UID:8a96a13b1f610d2ea544256ce137ee67
CATEGORIES:Discrete Math
CREATED:20220217T101043
SUMMARY:Multicolored hypergraph Ramsey numbers
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract: A central open problem in Ramsey theory is to determine the behav
 ior of r_3(t), the minimum n such that any 2-coloring of the complete 3-uni
 form hypergraph on n vertices contains a monochromatic complete subgraph on
  t vertices. In the 1960's, Erd?s, Hajnal, and Rado showed that r_3(t) is b
 ounded between exponential and double-exponential in t, but the correct beh
 avior remains unknown. Erd?s and Hajnal surprisingly showed that the double
 -exponential bound is correct if we use four colors instead of two. This ra
 ises the question: how does the number of colors influence the growth of th
 e Ramsey number? Generalizing a result of Conlon, Fox, and Rödl, we constru
 ct a family of hypergraphs with arbitrarily large tower gaps between the 2-
 color and q-color Ramsey numbers. We utilize results analogous to the Erd?s
 -Hajnal stepping-up lemma, for Ramsey numbers where we relax the "monochrom
 atic" condition to "spanning few colors." Joint work with Quentin Dubroff, 
 Eoin Hurley, and António Girão.\n
X-ALT-DESC;FMTTYPE=text/html:<p><strong>Abstract</strong>: A central open problem in Ramsey theory is to
  determine the behavior of r_3(t), the minimum n such that any 2-coloring o
 f the complete 3-uniform hypergraph on n vertices contains a monochromatic 
 complete subgraph on t vertices. In the 1960's, Erd?s, Hajnal, and Rado sho
 wed that r_3(t) is bounded between exponential and double-exponential in t,
  but the correct behavior remains unknown. Erd?s and Hajnal surprisingly sh
 owed that the double-exponential bound is correct if we use four colors ins
 tead of two. This raises the question: how does the number of colors influe
 nce the growth of the Ramsey number? Generalizing a result of Conlon, Fox, 
 and Rödl, we construct a family of hypergraphs with arbitrarily large tower
  gaps between the 2-color and q-color Ramsey numbers. We utilize results an
 alogous to the Erd?s-Hajnal stepping-up lemma, for Ramsey numbers where we 
 relax the "monochromatic" condition to "spanning few colors." Joint work wi
 th Quentin Dubroff, Eoin Hurley, and António Girão.</p>
CONTACT:Corrine Yap (Rutgers University)
DTSTAMP:20260828T175330
DTSTART;TZID=America/New_York:20220221T140000
DTEND;TZID=America/New_York:20220221T150000
SEQUENCE:0
TRANSP:OPAQUE
END:VEVENT
END:VCALENDAR