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SUMMARY:Yuma Mizuno (Chiba University)
DTSTART:20211118T120000Z
DTEND:20211118T130000Z
DTSTAMP:20260423T005846Z
UID:UCDANT/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCDANT/18/">
 Nahm's problem and cluster algebras</a>\nby Yuma Mizuno (Chiba University)
  as part of Dublin Algebra and Number Theory Seminar\n\n\nAbstract\nNahm\,
  Terhoeven\, and Zagier studied the intersection of the set of q-hypergeom
 etric series and the set of modular functions\, and they found that the pr
 oblem of finding an element of this intersection is related to the dilogar
 ithm function and algebraic K-theory. In this talk\, I will explain this p
 roblem is also related to the periodicity of T-systems (and Y-systems)\, w
 hich are difference equations that appear in the theory of cluster algebra
 s. I will give a systematic construction of q-hypergeometric series that a
 re expected to be modular using the theory of cluster algebras.\n
LOCATION:https://researchseminars.org/talk/UCDANT/18/
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