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SUMMARY:Anders Södergren (Chalmers)
DTSTART:20210317T171500Z
DTEND:20210317T181500Z
DTSTAMP:20260423T005835Z
UID:IML_NT/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IML_NT/13/">
 Can a random lattice and its dual be independent?</a>\nby Anders Södergre
 n (Chalmers) as part of IML Number Theory semester (spring 2021)\n\n\nAbst
 ract\nIn this talk I will discuss Rogers' mean value formula in\nthe space
  of unimodular lattices as well as a recent generalization of\nRogers' for
 mula. In particular\, I will describe a formula for mean\nvalues of produc
 ts of Siegel transforms with arguments taken from both\na lattice and its 
 dual lattice. The main application is a result on\nthe joint distribution 
 of the vector lengths in a random lattice and\nits dual lattice in the lim
 it as the dimension of the lattices tends\nto infinity\, and provides a pa
 rtial affirmative answer to the question\nin the title. This is joint work
  with Andreas Strömbergsson.\n
LOCATION:https://researchseminars.org/talk/IML_NT/13/
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