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SUMMARY:Counting and equidistribution of common perpendiculars: arithmetic
  applications - Paulin\, F (Universit Paris-Sud 11)
DTSTART:20140630T140000Z
DTEND:20140630T145000Z
UID:TALK53240@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will survey several arithmetic applications\, obtained in jo
 int works with Parkkonen\, of our counting (and simultaneous equidistribut
 ion of initial and terminal tangent vectors)\nof the common perpendiculars
  between two closed locally convex subsets of a negatively curved manifold
 :  generalisation of Mertens' formula for imaginary quadratic number field
 s\, counting quadratic irrationals with bounded crossratios\, equidistribu
 tion of rational points in the Heisenberg group\, counting of arithmetic c
 hains in the Heisenberg group with\nCygan diameter bounded from below.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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