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CATEGORIES:Lectures & Presentations
DESCRIPTION:AMS Graduate Chapter at Ohio University is delighted to feature
Doctoral Candidate Khaled Qaraman as our speaker on WEDNESDAY\, February 7
\, 2024\, from 04: 10 PM to 5: 05 PM at MORTON HALL\, 219. Qaraman will tal
k about Inversion in Higher Dimensions.\n\nAbstract: My work aims to contri
bute to the study of the inversion in the curves on the 2D surfaces\, speci
fically the curves on the Riemann Sphere. Tools required for this study inc
lude Schwarz function\, Quaternions and Stereographic projection.\n\nA basi
s for this study requires investigating the relations between these tools a
nd the conformal mappings. One important Theorem in that regard includes th
e Invariance property of symmetric points under biholomorphic transformatio
n. After that we are going to study the inversion in a circle on the Rieman
n Sphere in depth and explain the relation between this inversion and the r
eflection with respect to a circle or a line in the complex plane.\n\nNext\
, we are going to study the inversion in a spherical ellipse\, then we cons
ider more complicated spherical curves and explain the general method to st
udy the inversion in a spherical curve and its relationship with the confor
mal mapping from the unit circle to the stereographic projection of this sp
herical curve on the complex plane.
DTEND:20240207T220500Z
DTSTAMP:20240520T024726Z
DTSTART:20240207T211000Z
GEO:39.324149;-82.097337
LOCATION:Morton Hall\, 219
SEQUENCE:0
SUMMARY:AMS Graduate Chapter Seminar
UID:tag:localist.com\,2008:EventInstance_45530381161330
URL:https://calendar.ohio.edu/event/ams_graduate_chapter_seminar_5553
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