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BEGIN:VEVENT
UID:DSC-22516
DTSTART;TZID=Europe/Berlin:20251211T150000
SEQUENCE:1765435012
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20251211T160000
URL:https://www.dresden-science-calendar.de/calendar/de/detail/22516
LOCATION:MPI-CBG\, Pfotenhauerstraße 10801307 Dresden
SUMMARY:Niet: Spectral convergence of Laplacians on dense hypergraph sequen
 ces
CLASS:PUBLIC
DESCRIPTION:Speaker: Sjoerd van der Niet\nInstitute of Speaker: Renyi Insti
 tute Budapest\, TU Munich\nTopics:\n\n Location:\n  Name: MPI-CBG (MPI-CBG
  CSBD SR Top Floor (VC))\n  Street: Pfotenhauerstraße 108\n  City: 01307 
 Dresden\n  Phone: +49 351 210-0\n  Fax: +49 351 210-2000\nDescription: Hig
 her-order networks have become a popular tool in the network science commu
 nity to model dynamics such as synchronization and diffusion. The lineariz
 ed system often depends on a Laplacian operator and its spectral propertie
 s. We introduce a Laplacian operator for uniform hypergraphs and study the
  limiting operator for an increasing sequence of dense uniform hypergraphs
  using the theory of graph limits. Although a theory of dense hypergraph l
 imits has been developed by Elek and Szegedy\, and independently Zhao\, no
 t much of its implications to spectral properties is known. We show that a
  weaker notion of convergence for the sequence of hypergraphs is sufficien
 t to obtain pointwise convergence of the spectrum of the Laplacians.
DTSTAMP:20260525T112950Z
CREATED:20251211T063652Z
LAST-MODIFIED:20251211T063652Z
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