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DTSTART;TZID=Europe/Sofia:20240910T140000
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UID:16725-1725976800-1725982200@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата: 10.09.2024 г.\, 14:00 ч. \nМясто: Зала 403\, ИМИ – БАН \nДокладчик: Боаз Моерман (Утрехтски университет) \nДоклад: Generalized integral points and strong approximation \nДопълнителна информация: https://icms.bg/generalized-integral-points-and-strong-approximation-talk-by-boaz-moerman/ \nРезюме. The Chinese remainder theorem states that given coprime integers \(p_1\, …\, p_n\) and integers \(a_1\, …\, a_n\)\, we can always find an integer \(m\) such that \(m \equiv a_i \mbox{ mod } p_i\) for all \(i\). Similarly given distinct numbers \(x_1\,…\, x_n\) and \(y_1\, …\, y_n\) we can find a polynomial \(f\) such that \(f(x_i)=y_i\). These statements are two instances of strong approximation for the affine line (over the integers \(\mathbb{Z}\) and the polynomials \(k[x]\) over a field \(k\)). In this talk we will consider when an analogue of this holds for special subsets of \(\mathbb{Z}\) and \(k[x]\)\, such as squarefree integers or polynomials without simple roots\, and different varieties. We give a precise description for which subsets this holds on a toric variety.
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-24/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
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