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SUMMARY:Tommy Hofmann (Siegen)
DTSTART:20220307T151500Z
DTEND:20220307T161500Z
DTSTAMP:20260423T005807Z
UID:LAGeNT/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGeNT/24/">
 Lattice isomorphism and the integral matrix similarity problem</a>\nby Tom
 my Hofmann (Siegen) as part of Leiden Algebra\, Geometry\, and Number Theo
 ry Seminar\n\n\nAbstract\nDeciding whether two lattices over orders of fin
 ite-dimensional algebras over number fields is a classical problem in algo
 rithmic number theory. We present a new algorithm for this problem\, assum
 ing that the Wedderburn decomposition of the algebra behaves nice. As an a
 pplication we discuss the connection to the similarity problem for integra
 l matrices (the conjugacy problem in GL(n\, Z)).\nThe resulting algorithm 
 for the latter problem is the first with proven complexity and performs ve
 ry well in practice. This is joint work with Werner Bley and Henri Johnsto
 n.\n
LOCATION:https://researchseminars.org/talk/LAGeNT/24/
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