Geometric and arithmetic aspects of approximation vectors
Prof. Barak Weiss, (Tel Aviv University)
| Speaker |
Prof. Barak Weiss, (Tel Aviv University)
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|---|---|
| When |
Oct 12, 2021
from 04:00 PM to 05:00 PM |
| Where | zoom meet |
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Abstract: I will describe several natural questions that arise in connection with the sequence of best approximation vectors. This sequence, which I will introduce in the talk, is a higher dimensional generalization of continued fraction convergents (which I will also discuss briefly). The questions involve the statistical behavior of certain observables, and the means to understand them involve a mix of number theory, ergodic theory, and elementary geometry.
The talk will survey a lot of classical work on this topic, and the new results described are joint with Uri Shapira.
To get added to the mailing list or get the zoom link for the talk please contact Nishant Chandgotia (nishant@tifrbng.res.in) or Ujjwal Koley (ujjwal@tifrbng.res.in).