Counting and equidistribution of common perpendiculars: arithmetic applications
Duration: 54 mins 4 secs
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About this item
| Description: |
Paulin, F (Université Paris-Sud)
Monday 30 June 2014, 15:00-15:50 |
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| Created: | 2014-07-11 16:36 |
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| Collection: | Interactions between Dynamics of Group Actions and Number Theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Paulin, F |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | I will survey several arithmetic applications, obtained in joint works with Parkkonen, of our counting (and simultaneous equidistribution of initial and terminal tangent vectors) of the common perpendiculars between two closed locally convex subsets of a negatively curved manifold: generalisation of Mertens' formula for imaginary quadratic number fields, counting quadratic irrationals with bounded crossratios, equidistribution of rational points in the Heisenberg group, counting of arithmetic chains in the Heisenberg group with Cygan diameter bounded from below. |
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