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SUMMARY:Norbert Hegyvari (E\\"otv\\"os University  and R\\'enyi Institute)
DTSTART:20250521T130000Z
DTEND:20250521T132500Z
DTSTAMP:20260423T041622Z
UID:CANT2025/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/3/"
 >Variants of Raimi's theorem</a>\nby Norbert Hegyvari (E\\"otv\\"os Univer
 sity  and R\\'enyi Institute) as part of Combinatorial and additive number
  theory (CANT 2025)\n\nLecture held in CUNY Graduate Center - Science Cent
 er (4th floor).\n\nAbstract\nThere exists $E\\subseteq \\mathbb{N}$ such t
 hat\, whenever $r\\in \\mathbb{N}$ and $\\mathbb{N}=\\bigcup_{i=1}^rD_i$ t
 here exist\n$i\\in\\{1\,2\,\\ldots\,r\\}$ and $k\\in \\mathbb{N}$ such tha
 t $(D_i+k)\\cap E$ is\ninfinite and $(D_i+k)\\setminus E$ is infinite.\n\n
 A new proof of the theorem is due to N. Hindman\, then to Bergelson and We
 iss\, and the generalization to the author.\nIn the present talk\, we give
  an outline of the new proofs and the generalization and some variations a
 re discussed in different structures (e.g. in $\\Z_n^k$\, in $SL_2(\\mathb
 b F_p)$.)\n\nThese variations are joint work with J\\'anos Pach and Thang 
 Pham.\n
LOCATION:https://researchseminars.org/talk/CANT2025/3/
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