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{\Large Department of Mathematics, BGU}

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{\Huge BGU Probability and Ergodic Theory  (PET) seminar}\\[0.2\baselineskip]

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\textbf{On} \emph{Thursday, December 10, 2020}
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\textbf{At} \emph{11:10 -- 12:00}
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\textbf{In} \emph{Online}

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{\large\scshape Erez Nesharim 
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  (The Hebrew University)
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will talk about
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{\Large\bfseries Approximation by algebraic numbers and homogeneous dynamics\par}
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\textsc{Abstract:}
Diophantine approximation quantifies the density of the rational numbers in the real line. The extension of this theory to algebraic numbers raises many natural questions. I will focus on a dynamical resolution to Davenport's problem and show that there are uncountably many badly approximable pairs on the parabola. The proof uses the Kleinbock--Margulis uniform estimate for nondivergence of nondegenerate curves in the space of lattices and a variant of Schmidt's game. The same ideas applied to Ahlfors-regular measures show the existence of real numbers which are badly approximable by algebraic numbers. This talk is based on joint works with Victor Beresnevich and Lei Yang.





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{\bfseries Please Note the Unusual Place!}
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