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SUMMARY:Renling Jin (College of Charleston)
DTSTART:20260714T143000Z
DTEND:20260714T145500Z
DTSTAMP:20260710T111652Z
UID:CANT2026/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/23/
 ">Three-in-one in Ramsey theory</a>\nby Renling Jin (College of Charleston
 ) as part of Combinatorial and additive number theory seminar (CANT 2026)\
 n\nLecture held in Science Center in the CUNY Graduate Center (4th floor).
 \n\nAbstract\nThere are three fundamental theorems in Ramsey theory: Ramse
 y's theorem\, van der Waerden's theorem\, and Hindman's theorem. Milliken-
 Taylor proved a result that simultaneously generalizes Ramsey's theorem an
 d Hindman's theorem. Later\, Bergelson--Hindman and Samet--Tsaban \n estab
 lished two distinct theorems\,  each providing a simultaneous generalizati
 on \n of Ramsey's theorem and van der Waerden's  theorem in two different 
 ways. Using a newly \n developed method of iterated extensions\, we prove-
 -pending verification--a theorem that \n simultaneously generalizes all th
 ree classical results--Ramsey's theorem\, Hindman's theorem\, and van der 
 Waerden's theorem. Moreover\, our theorem subsumes both the Bergelson--Hin
 dman and the Samet--Tsaban generalizations. Joint work with Mauro Di Nasso
 .\n
LOCATION:https://researchseminars.org/talk/CANT2026/23/
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