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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20240101T000000
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DTSTART;TZID=Asia/Seoul:20250519T110000
DTEND;TZID=Asia/Seoul:20250519T120000
DTSTAMP:20260501T010840
CREATED:20250508T092009Z
LAST-MODIFIED:20250508T092009Z
UID:3807-1747652400-1747656000@ccg.ibs.re.kr
SUMMARY:JongHae Keum\, Fake quadric surfaces
DESCRIPTION:    Speaker\n\n\nJongHae Keum\nKIAS\n\n\n\n\n\n\nA smooth projective complex surface S is called a Q-homology quadric if it has the same Betti numbers as the smooth quadric surface. Let S be a Q-homology quadric. Then its cohomology lattice is of rank 2\, (even or odd) unimodular. By the classification of surfaces\, S is either rational or of general type. In the latter case\, S is called a fake Q-homology quadric (fake quadric\, in short). There is an unsolved question raised by Hirzebruch: does there exist a surface of general type which is homeomorphic to the smooth quadric surface? I will report recent progress on these surfaces.
URL:https://ccg.ibs.re.kr/event/2025-0519/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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