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X-ORIGINAL-URL:https://ccg.ibs.re.kr
X-WR-CALDESC:Events for Center for Complex Geometry
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BEGIN:VTIMEZONE
TZID:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:20230101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20240624T140000
DTEND;TZID=Asia/Seoul:20240624T150000
DTSTAMP:20260416T124321
CREATED:20240410T121020Z
LAST-MODIFIED:20240522T084547Z
UID:3065-1719237600-1719241200@ccg.ibs.re.kr
SUMMARY:Kisun Lee\, Introduction to Numerical Algebraic Geometry
DESCRIPTION:    Speaker\n\n\nKisun Lee\nClemson University\n\n\n\n\n\n\nNumerical algebraic geometry employs numerical techniques for problems in algebraic geometry. This talk begins with a question reminding the meaning of solving a (polynomial) equation. It overviews the homotopy continuation as a method for finding solutions to a system of polynomial equations. After problems from algorithmic and application points of view in numerical nonlinear algebra are introduced\, we discuss how the results from numerical techniques can be certified. No pre-knowledge from graduate-level algebraic geometry is assumed.
URL:https://ccg.ibs.re.kr/event/2024-0624-1400-1500/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20240624T160000
DTEND;TZID=Asia/Seoul:20240624T170000
DTSTAMP:20260416T124321
CREATED:20240410T121134Z
LAST-MODIFIED:20240522T084608Z
UID:3067-1719244800-1719248400@ccg.ibs.re.kr
SUMMARY:Kisun Lee\, Numerical Certification and Certified Homotopy Tracking
DESCRIPTION:    Speaker\n\n\nKisun Lee\nClemson University\n\n\n\n\n\n\nA certified algorithm produces a solution and a certificate of correctness to a problem. Numerical certification studies certified algorithms for results obtained from numerical methods in algebraic geometry. In this talk\, we discuss why numerical certification is needed in numerical algebraic geometry and introduce the Krawczyk homotopy as one of its methods. The Krawczyk homotopy exploits interval arithmetic to track the homotopy solution path without path jumping so that the correctness of its output is guaranteed. This is joint work with Timothy Duff.
URL:https://ccg.ibs.re.kr/event/2024-0624-1600-1700/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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