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SUMMARY:Arie Bialostocki (University of Idaho)
DTSTART:20200605T143000Z
DTEND:20200605T145500Z
DTSTAMP:20260423T011341Z
UID:CANT2020/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/60/
 ">Zero-sum Ramsey theory: Origins\, present\, and future</a>\nby Arie Bial
 ostocki (University of Idaho) as part of Combinatorial and additive number
  theory (CANT 2021)\n\n\nAbstract\nAs for the origins\, I will describe th
 e birth of the Erd\\H os-Ginzburg-Ziv theorem as I learned it \nfrom the l
 ate A. Ziv and A. Ginzburg in 2003.  A stimulating conversation with V. Mi
 lman \naround 1980 led me to a broader view of Ramsey Theory. \nI shared s
 ome of the ideas with my friends Y. Caro and Y. Roditty. \nY. Caro took a 
 slightly different turn and made several significant contributions. \nIn t
 he mid 80's I started my 15-year collaboration with my colleague P. Dierke
 r.  In 1989\, \nR. Graham learned about the zero-sum tree conjecture and p
 opularized it. \nIt was solved  by Z. F\\" uredi and D. Kleitman\, and\, i
 ndependently\, by A. Schrijver \nand P. D. Seymour. In 1990 I visited Aust
 ralia and was introduced to a young student M. Kisin\, \nwho made a signif
 icant contribution toward the multiplicity conjecture\, solved asymptotica
 lly \nby Z. Fuͤredi and D. Kleitman. Another milestone was my joint paper
  with P. Erdős and H. Lefman\, \nwhich was the beginning of zero-sum theo
 ry on the integers. A few of my Ph.D students \nand some of my REU student
 s\, among them D. Grynkiewicz\, made some significant contributions. \nBut
  I believe that my last Ph.D student\, T.D. Luong\, paved the way to futur
 e research\,  \nwhich I will call vanishing polynomials.\nThough the abstr
 act describes mainly the history\, much of the lecture will be devoted \nt
 o the present and the future.\n
LOCATION:https://researchseminars.org/talk/CANT2020/60/
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