Alessandro Pezzoni (York) - Kleinbock-Margulis and points with algebraic-conjugate coordinates
| Dates: | 3 March 2020 |
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| Times: | 15:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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| Speaker: | Alessandro Pezzoni |
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Abstract: As one of the key ingredients that allow deriving Khinchin-like theorems for manifolds, counting results are important in Diophantine Approximation. Traditionally, these have been obtained using a method first introduced by Bernik, based on Sprindzuk's technique of essential and inessential domains. In this talk we present a novel approach to derive a counting estimate for algebraic points close to analytic curves, which relies on a quantitative non-divergence result of Kleinbock, Margulis and Wang. This is work in progress.
Speaker
Alessandro Pezzoni
Organisation: University of York
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Frank Adams 1
Alan Turing Building
Manchester
