Diophantine property in groups
Duration: 54 mins 46 secs
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About this item
| Description: |
Varjú, P (University of Cambridge)
Friday 04 July 2014, 10:00-10:50 |
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| Created: | 2014-07-15 10:23 |
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| Collection: | Interactions between Dynamics of Group Actions and Number Theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Varjú, P |
| 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: | Let x, y be two real numbers and consider all numbers that can be expressed from them using addition and subtraction. Denote by B_l the set of numbers that can be obtained by using x and y at most l times. A simple Borel-Cantelliargument shows that the smallest positive element of B_l is at least cl^(-1-e) for almost all pairs x,y. In the lecture we will investigate the analogue of this property in non-commutative Lie groups. |
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