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SUMMARY:Yagub Aliyev
DTSTART:20231213T162000Z
DTEND:20231213T180000Z
DTSTAMP:20260423T024752Z
UID:GDEq/103
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/103/">A
 pollonius problem and caustics of an ellipsoid</a>\nby Yagub Aliyev as par
 t of Geometry of differential equations seminar\n\n\nAbstract\nIn the talk
  we discuss Apollonius Problem on the number of normals of an ellipse pass
 ing through a given point. It is known that the number is dependent on the
  position of the given point with respect to a certain astroida. The inter
 section points of the astroida and the ellipse are used to study the case 
 when the given point is on the ellipse. The problem is then generalized fo
 r 3-dimensional space\, namely for Ellipsoids. The number of concurrent no
 rmals in this case is known to be dependent on the position of the given p
 oint with respect to caustics of the ellipsoid. If the given point is on t
 he ellipsoid then the number of normals is dependent on position of the po
 int with respect to the intersections of the ellipsoid with its caustics. 
 The main motivation of this talk is to find parametrizations and classify 
 all possible cases of these intersections.\n
LOCATION:https://researchseminars.org/talk/GDEq/103/
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