BEGIN:VCALENDAR VERSION:2.0 PRODID:icalendar-ruby CALSCALE:GREGORIAN METHOD:PUBLISH BEGIN:VTIMEZONE TZID:Europe/Vienna BEGIN:DAYLIGHT DTSTART:20190331T030000 TZOFFSETFROM:+0100 TZOFFSETTO:+0200 RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3 TZNAME:CEST END:DAYLIGHT BEGIN:STANDARD DTSTART:20191027T020000 TZOFFSETFROM:+0200 TZOFFSETTO:+0100 RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10 TZNAME:CET END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20200125T152238Z DTSTART:20190709T110000 DTEND:20190709T120000 DESCRIPTION:Speaker: Yue Zhang\nhosted by Chris Wojtan\nAbstract: Orbifold is a modern mathematical concept that has been used to understand the geo metric structures of hyperbolic geometry and prove the famous Poincar\\'e conjecture for the three-dimensional case (the last and the hardest case ). Orbifolds contain intricate structures which not only render orbifolds an interesting subject but also make their understanding challenging.In this paper\, we provide an interactive visualization system for a class o f important orbifolds: {\\em kaleidoscopic orbifolds}. With the system\, the user can create kaleidoscopic scenes of arbitrary complexity and inte ract with the objects in the scene to gain critical insights on kaleidosc opic orbifolds. Our visualization techniques are based on mirror reflecti ons\, a metaphor that is conceptually well understood by an average user. Furthermore\, we develop interactive games to help the user better under stand the properties of kaleidoscopic orbifolds. Our visualization system and interaction techniques are useful to gain intuitive comprehension of important concepts and properties related to orbifolds such as groups\, group actions\, branched covering spaces\, and the result that all planar kaleidoscopes have a zero Euler characteristic.To test the efficiency of our system\, we have conducted a user study\, with the users being high school and college students as well as professors in mathematics teaching differential geometry\, abstract algebra\, and topology. LOCATION:Mondi Seminar Room 2\, Central Building\, IST Austria SUMMARY:Interactive Visualization of Planar Kaleidoscopic Orbifolds URL: END:VEVENT END:VCALENDAR