Manchester Number Theory Seminar - Victor Shirandami
| Dates: | 8 October 2024 |
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| Times: | 15:00 - 16:00 |
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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, Current University students |
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Speaker: Victor Shirandami (University of Manchester)
Title: Distribution of Algebraic projective points: Towards Probablistic Effectivity in The Subspace Theorem
Abstract: In recent work of Koleda, an explicit formula for the limiting distribution of the real algebraic numbers of bounded naive height is obtained, with sharp error term. We shall first discuss how this result may be applied, in conjunction with a result of Barroero and Widmer on the enumeration of lattice points and o-minimal structures, to count real algebraic vectors occurring in families of semi-algebraic sets. This is used to determine the distribution of projective algebraic points via a suitable parametrization of projective space, which shall bring us towards a work in progress, in collaboration with Faustin Adiceam, on how one may analyse the Schmidt Subspace Theorem from the probabilistic perspective.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
