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X-WR-CALNAME:Centre for Mathematical Sciences
X-ORIGINAL-URL:https://math-sciences.org
X-WR-CALDESC:Events for Centre for Mathematical Sciences
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TZOFFSETFROM:+0000
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DTSTART:20180101T000000
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DTSTART;TZID=UTC:20181207T140000
DTEND;TZID=UTC:20181207T150000
DTSTAMP:20210620T145938
CREATED:20181024T152550Z
LAST-MODIFIED:20181119T162459Z
UID:3151-1544191200-1544194800@math-sciences.org
SUMMARY:Miguel Marco (Universidad de Zaragoza)
DESCRIPTION:Certified numerical implementation of Zariski-Van Kampen method.\nVan Kampen’s motivation for his celebrated theorem was to give a proof of a fact known by Zariski: that the fundamental group of the complement of a complex plane curve is given by its braid monodromy. Moreover\, Lefschetz hyperplane theorem allows to reduce to this case the computation of the complement of every hypersurface in the projective (or affine) space. However\, there are no purely algebraic methods to compute this braid monodromy. We present a numerical\, but certified\, method using interval arithmetic and Newton’s interval criterion. The use of interval arithmetic allows us to work with arbitrary coefficients (either rational\, algebraic or even transcendental).
URL:https://math-sciences.org/event/miguel-marco-universidad-de-zaragoza/
LOCATION:Room 101\, 2-5 Kirkby Place\, Plymouth\, PL4 6DT\, United Kingdom
CATEGORIES:Pure Mathematics,Seminars
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