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SUMMARY:Gabriele Nebe (RWTH Aachen University)
DTSTART:20201007T150000Z
DTEND:20201007T160000Z
DTSTAMP:20260423T021408Z
UID:hnts/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/4/">Aut
 omorphisms of extremal modular lattices</a>\nby Gabriele Nebe (RWTH Aachen
  University) as part of Heilbronn number theory seminar\n\n\nAbstract\nThe
  study of automorphisms of extremal lattices was motivated by similar rese
 arch for binary self-dual codes. It started by considering extremal even u
 nimodular lattices in dimensions which are multiples of 24. We know six su
 ch lattices\, the Leech lattice in dimension 24\, four lattices of dimensi
 on 48 and\, since 2010\, also one extremal lattice in dimension 72. One of
  the 48-dimensional lattices was found by a computer search for lattices w
 ith a certain automorphism of order 5.\n\nIn his thesis Michael Jürgens e
 xtended the theory to automorphisms of modular lattices\, aiming in the co
 nstruction of an extremal 3-modular lattice in dimension 36. In the talk I
  will present new methods suitable for non unimodular lattices and results
  partly obtained in joint work with Dr. Markus Kirschmer.\n
LOCATION:https://researchseminars.org/talk/hnts/4/
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