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SUMMARY:Gergely Kiss (Alfred Renyi Institute of Mathematics\, Hungary)
DTSTART:20220526T150000Z
DTEND:20220526T152500Z
DTSTAMP:20260423T011437Z
UID:CANT2022/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2022/35/
 ">Fuglede's conjecture on the direct product of finite abelian groups</a>\
 nby Gergely Kiss (Alfred Renyi Institute of Mathematics\, Hungary) as part
  of Combinatorial and additive number theory (CANT 2022)\n\n\nAbstract\nWe
  investigate Fuglede's conjecture on the direct product of abelian groups 
 and its connection to the conjecture in $\\mathbb{R}^n$ for $n\\ge 2$. We 
 overview the earlier results: Some important constructions will be shown\,
  which disproves the conjecture in higher dimensions\, and some techniques
  and ideas will be presented\, which serves to prove the conjecture for ce
 rtain abelian groups. Finally we will discuss some developments of the mos
 t recent directions of research. This talk is closely related to the talk 
 of Gábor Somlai's about Fuglede's conjecture in the cyclic group and the 
 one dimensional cases.\n
LOCATION:https://researchseminars.org/talk/CANT2022/35/
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