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X-WR-CALNAME:Center for Complex Geometry
X-ORIGINAL-URL:https://ccg.ibs.re.kr
X-WR-CALDESC:Events for Center for Complex Geometry
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20210101T000000
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DTSTART;TZID=Asia/Seoul:20220510T110000
DTEND;TZID=Asia/Seoul:20220510T120000
DTSTAMP:20260421T052514
CREATED:20220510T020000Z
LAST-MODIFIED:20220428T010609Z
UID:1224-1652180400-1652184000@ccg.ibs.re.kr
SUMMARY:Brendan Hassett\, Recent Progress and Questions on Stable Rationality
DESCRIPTION:     Speaker\n\n\nBrendan Hassett\nICERM / Brown Univ.\n\n\n\n\n\nA complex variety X is rational if its field of meromorphic functions is isomorphic to C(t1\, …\, td)\, the function field of projective space Pd. It is stably rational if X × Pm is rational for some m. Topological and complex invariants give criteria for whether varieties are stably rational but a simple characterization remains elusive. We present results for varieties admitting fibrations in conics\, quadric hypersurfaces\, and rational surfaces using techniques like decomposition of the diagonal. We close with some outstanding open problems. (joint with Kresch and Tschinkel)
URL:https://ccg.ibs.re.kr/event/2022-05-10/
LOCATION:on-line
CATEGORIES:Algebraic Geometry Seminar
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