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SUMMARY:Yu Kitabeppu (Kumamoto University)
DTSTART:20240424T123000Z
DTEND:20240424T133000Z
DTSTAMP:20260423T004655Z
UID:IMSRS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMSRS/5/">Co
 arse Ricci Curvature of Hypergraphs</a>\nby Yu Kitabeppu (Kumamoto Univers
 ity) as part of IUT Mathematics Research Seminars (IMRS)\n\n\nAbstract\nTh
 ere are several notions of (lower bound of) Ricci curvature on discrete sp
 aces. I\nwill give a new notion of Ricci curvature on hypergraphs related 
 to the Lin- Lu-Yau’s coarse\nRicci curvature on graphs (LLY curvature fo
 r short). The definition of LLY curvature defined\nby using the Markov cha
 in on vertex set on graph. Since the Laplacian of hypergraph is nonlinear\
 , it is difficult to define Ricci curvature on hypergraphs in the same way
  as LLY one. In\nmy talk\, I explain how to overcome such difficulties and
  tell the geometric consequences of\nassuming lower bound of Ricci curvatu
 re. These are based on two joint works with M.IkedaY.Takai-T.Uehara\, and 
 with E.Matsumoto.\n
LOCATION:https://researchseminars.org/talk/IMSRS/5/
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