Diophantine approximation, formal Laurent series and Hankel Matrices

Diophantine approximation, formal Laurent series and Hankel Matrices

Diophantine approximation, formal Laurent series and Hankel Matrices

Monday, May 20, 2024
  • Lecturer: Matan Ivgi (Technion)
  • Location: Amado 814
Abstract:

Diophantine approximation in function fields gives rise to many combinatorial questions. One interesting question is the computation of the Hausdorff dimension of the set of badly approximable formal Laurent series. Those series are tightly connected to Hankel matrices with specific properties. I will talk about this connection and how I used it in order to solve this question.

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