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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20200101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20211228T110000
DTEND;TZID=Asia/Seoul:20211228T120000
DTSTAMP:20260512T000328
CREATED:20211228T020000Z
LAST-MODIFIED:20211213T012857Z
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SUMMARY:Olivier Martin\, Measures of Association for Algebraic Varieties
DESCRIPTION:     Speaker\n\n\nOlivier Martin\nStony Brook Univ.\n\n\n\n\n\n\nI will discuss recent work in collaboration with R. Lazarsfeld which explores the following question: Given varieties X and Y of the same dimension how far are they from being birational? I will define various “measures of association” which quantify the failure of X and Y to be birational and present partial results\, heuristics\, and several open problems. For instance\, given an n-fold Z dominating very general hypersurfaces X and Y in Pn+1 of degrees d\,e > 2n+1\, we show that the degrees of the projections Z—>X and Z—>Y are at least d and e. Moreover\, given very general hyperelliptic curves X and Y\, any hyperelliptic curve in XxY is contracted by the projection to X or the projection to Y.
URL:https://ccg.ibs.re.kr/event/2021-12-28/
LOCATION:on-line
CATEGORIES:Algebraic Geometry Seminar
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