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SUMMARY:Daniel El-Baz (TU Graz)
DTSTART:20220408T103000Z
DTEND:20220408T113000Z
DTSTAMP:20260423T005813Z
UID:ntsea/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ntsea/8/">Pr
 imitive rational points on expanding horospheres: effective joint equidist
 ribution</a>\nby Daniel El-Baz (TU Graz) as part of Number theory by the s
 ea\n\n\nAbstract\nI will report on ongoing work with Min Lee and Andreas\n
 Strömbergsson. Using techniques from analytic number theory\, spectral\nt
 heory\, geometry of numbers as well as a healthy dose of linear algebra\na
 nd building on a previous work by Bingrong Huang\, Min Lee and myself\, we
 \nfurnish a new proof of a 2016 theorem by Einsiedler\, Mozes\, Shah and\n
 Shapira. That theorem concerns the equidistribution of primitive rational\
 npoints on certain manifolds and our proof has the added benefit of\nyield
 ing a rate of convergence. It turns out to have (perhaps surprising)\nappl
 ications to the theory of random graphs\, which I shall also discuss.\n
LOCATION:https://researchseminars.org/talk/ntsea/8/
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