BEGIN:VCALENDAR VERSION:2.0 CALSCALE:GREGORIAN PRODID:iCalendar-Ruby BEGIN:VEVENT 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:20241122T180743Z 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 END:VEVENT END:VCALENDAR